bluuebunny/crossref_metadata_2025 huggingface dataset:
Group Divisible Response Surface (GDRS) Designs of Third Order
Authors: Adhikary Basudev , Panda Rajendranath
Published: August 2016

In an earlier paper (Adhikary and Panda, 1983) we have identified certain natural grouping of the factors, where for experimentation it is essential to consider the grouping, and introduced group divisible response surface designs of second order. In this paper, we have considered group divisible response surface designs of third order. It is wellknown that to construct a third order design too many design points are needed. If the conditions are such that a GDRS of third order will serve the purpose then we can fit the response surface with a considerably reduced number of design points .
On Ds-Efeiciency of Some D-Optimal Designs
Authors: Huda S.
Published: August 2016

For spherical regions the efficiencies of D-optimal secondorder and third-order designs as designs for first-order and second-order models, respectively, are derived. Situations where all the parameters are estimated and where only the parameters corresponding to the lower-order models are estimated are both considered.
A Comment on Generalised Gamma Distribution
Authors: Sathe Y.S. , Dixit U.J.
Published: August 2016

A simple proof based on a result of Lukacs (1955) is given for characterization of the generalised gamma distribution.
Incomplete Block Designs for Asymmetrical Parallel Line Assays
Authors: Das A.D. , Saha G.M.
Published: August 2016

Methods of construction of incomplete block designs for asymmetrical parallel line assays based on C-designs with examples have been presented. Outline of analysos of these designs are given in general terms.
Quasi­Diagonals­Parameter Symmetry Model for Square Contingency Tables with Ordered Categories
Authors: Tomizawa Sadao
Published: August 2016

For the analysis of square contingency tables with ordered categories, this paper introduces the quasi­diagonals­parameter symmetry (QDPS) model which is an extension of the quasi­symmetry (QS) model. It is shown that the QDPS model is preferable to the QS model for unaided vision data of British women earlier analysed by Stuart (1955). Various extended models of QS are expressed in terms of the local odds ratios and the other odds ratios.
On the Unconditional Optimality of Conditional Tests
Authors: Chatterjee Shoutir Kishore , Chattopadhyay Gaurangadeb
Published: August 2016

When an ancillary statistic is present, assuming that the loss resulting from a wrong decision depends on the ancillary, it is shown that the best conditional size­α test for a simple Ho against a simple H1 minimizes the unconditional risk under H1 subject to an upper bound on the risk under Ho, provided the loss depends on the ancillary in a certain special manner. Considering the case when the conditional distribution has monotone likelihood ratio, it is next shown that this special type of Joss function can be so chosen as to possess two intuitively reasonable properties.
Some Constructions of Partially Balanced Ternary Design*
Authors: Bhagwandas  , Meitei K. K. Singh
Published: August 2016

This paper gives some constructions of Partially Balanced Ternary (PBT) designs, starting from a given linked block design.
Estimation of Survival Function Under Random Censorship
Authors: Dhar D.
Published: August 2016

The paper deals with the estimation of survival function of a particular random variable of interest in proportional hazard model of random censorship under the condition that data are randomly censored by k independent variables. Estimators are constructed using results from Abdushukurov (1984), Cheng and Lin (1984), Ebrahimi (1985) and Kaplan and Meier (1958). The asymptotic behaviour of all these estimators is investigated. Numerical results are provided to calculate the efficiencies of ACL and Ebrahimi's estimators in comparsion to classical Kaplan-Meier (1958) estimator.
A Note on the One Parameter Power Series Distribution
Authors: Ahsanullah M.
Published: August 2016

Suppose a discrete random variable X has a one parameter power series distribution defined over non negative integers. It is shown that the first two central moments of X can identify the different families among the power series distribution.
On Unbiased Estimation of GINI, PIESCH and MEHRAN Inequality Indices of Log-Laplace Distribution
Authors: Moothathu T. S. K. , Christudas D.
Published: August 2016

Here we develop the uniformly minimum variance unbiased (best) estimators and strongly consistent, asymptotically normal unbiased estimators ofGini,Piesch and Mehran inequality indices of Log-Laplace distribution. These estimators are in terms of the special functions 1 F9 and 1F1. The variance of each estimator and ths best estimator of each such variance are derived, which are in terms of certain special cases of Kempe de Feriet function, Appell function F2 and Humbert function ø2. Finally each estimator of this paper is shown to be strongly consistent.
Inverse Sampling for Bivariate Nonparametric Two-Sample Problems Against Restricted Alternatives
Authors: Bandyopadhyay Uttam , Chattopadhyay Gopaldeb
Published: August 2016

The object of the present investigation is to provide suitable nonparametric tests for testing the identity of two bivariate distribution functions F1 and F2 against a class of restricted alternatives when there is sample of fixed size m from F1 and the observations from F2 are drawn sequentially. Various large sample results of the proposed tests are formulated and examined.

AMS Subject Classification: Primary 62010, Secondary 62020.
On Estimation of a Functional of a Probability Density Function
Authors: Odongo L. O. , Samanta M.
Published: August 2016

The problem of estimating the integral of the square of a probability density function is considered, It is shown that under some regularity conditions the kernel estimate of this functional is asymptotically normally distributed. An expression for the smoothing parameter that minimizes the mean square error of the estimate is derived. Results of simulation studies are included.

AMS (1980) Subject Classification: Primary 62G07 Secondary 60FOS.
Improved Tests for an Ordered Hypothesis in one Parameter Exponential Families
Authors: Li Teng
Published: August 2016

We consider m independent one parameter exponential families with parameters (θ1, θ2,  , θ m), and the alternative hypothesis [Formula: see text] where [Formula: see text] are specified. The null hypothesis Ho is the complement of H1. A class of tests more powerful than the likelihood ratio test (LRT) is derived. Applications to two special cases, Binomial and Poisson, are indicated.

AMS 1980 Subject Classification: Primary 62F03
Designs Robust Against Aberrations
Authors: Mandal N. K. , Shah K. R.
Published: August 2016

In this paper, we obtain sufficient conditions for a design to be robust against aberrations in the sense of Box and Draper. Block designs, row-column designs and fractional designs are considered here. An alternative formulation of robustness is also presented.

AMS Subject Classification: Primary 62K99; Secondary 62K05.
A Decomposition of the Marginal Homogeneity Model for Square Contingency Tables with Ordered Categories
Authors: Tomizawa Sadao
Published: August 2016

For square contingency tables, with ordered categories, this short note decomposes the marginal homogeneity (MH) model into an extended MH model and the model of equality of expectation of monotonic function of row and column variables. This decomposition is a generalization of the decomposition of the MH model which was earlier considered by Tomizawa (1991, Cal. Statist. Assoc. Bull., 41, 201-207).
A Technique of Finding the Variance of a Stochastic Integral Equation
Authors: Sen P. , Bartoszynski R.
Published: August 2016

Kinetic models are commonly used in modeling biological systems. The paper starts with a kinetic model which it converts into a stochastic model, and describes a technique to calculate the variance of the random variable which describes the system. This method of calculation gives an alternative to Ito calculus.
An Optimal Sequential Procedure for Ranking Pairwise Compared Treatments
Authors: Bhandari S. K. , Hande S. N. , Ali M. Masoom
Published: August 2016

Scores of k players have been observed. Tho problem of selecting the player with highest expected wins is considered. An optimal sequential rule has been derived in this context, Its efficiency with the bost fixed sample size rule is considered at the common least favourable configuration.

AMS 1980 Subject Classification: 62F07.
On Construction of Generalized Cyclic Row-Column Designs
Authors: Bhardwaj A. K. , Prasad Jagdish
Published: August 2016

Factorial experiments can be set out in rowcolumn designs using the generalized cyclic methods of construction Various methods of construction of these designs were obtained by Bhardwaj and Prasad (1992, 93). Further methods of construction of these designs with desirable properties are obtained by using suitable generators.
Use OE Ranked Set Sampling for Test of a Normal Mean
Authors: Shen Wei-Hsiung
Published: August 2016

In situations where the experimental or sampling units in a study can be easily ranked than quantified, Mcintyre (1952) proposed the notion of a ranked set sample ( RSS), and observed that, to estimate the population mean, the sample mean based on a RSS sample of size n provides an unbiased estimator with a smaller variance compared to a simple random sample mean of the same size n. Mcintyre's concept of RSS is essentially nonparametric in nature in that the underlying population distribution is assumed to be completely unknown.

Sinha et al. (1992) in a recent paper further explored the concept of RSS and its many variations for estimation of a normal mean and a normal variance, and an exponential mean. In this paper we use the concept of RSS to derive tests for a normal mean μ when the variance is known, and show that many improved tests can be constructed, all of which are much better than the traditional normal test. All our tests are based on the improved eetimators of μ derived in Sinha et. al. (1992).
Decomposition of Bivariate Point-Symmetric Density Function
Authors: Tomizawa Sadao , Konuma Tomono
Published: August 2016

For the analysis of contigency tables, it is known that the point-symmetry model holds if and only if both the quasi-point symmetry and the marginal point-symmetry models hold (Tomizawa, 1985). This paper shows that a similar decomposition for bivariate density function (instead of cell probabilities) holds.
Estimation of the Common Probability of Success for Several Binomials —A Simulation Study
Authors: Bhanja Joydeep
Published: August 2016

In this paper we consider an example where for each i, i = 1,2, ... , n, the observations Xij , j = 1, 2, ... , k are i.i.d . Binomial ( ni, θ). Based on a theory developed by us earlier, we propose estimates of θ which are asymptotically efficient under the assumption that k ≥ 2, the ni 's come from a finite set { 1, 2, ... , q} and some mild regularity conditions on the sequence { ni} and θ hold. We present the results of a simulation whlch indicate, among other thlngs, the asymptotic lower bound to variance is lower than or approximately equal to simulated Variances and a simple moment estimate of θ does as well as the asymptotically efficient estimates.
On the Construction of VB Designs
Authors: Gujarathi C.C. , Pravender
Published: August 2016

This paper gives complete analytical study of suitability and non-availability of I-associate and II-associate designs of a given 2-class partially balanced incomplete block (2-PBIB) design in the construction of a variance balance (VB) design using the given 2-PBIB design.
A Class of Probability Distributions Characterized Through Paired Comparison Models
Authors: Roy Dilip
Published: August 2016

We examine the paired comparison model and obtain a class of probability distributions for which the ratio of intrinsic worths of two products remains unaltered irrespective of the lower time truncation point applied to items of both products.

The class of distributions so obtained has been shown to have many nice properties both from the reliability point of view and paired comparison point of view. We also present a characterization result using its within class properties.
Plot Sampling with Plots of Unequal Sizes
Authors: Sengupta Samindranath , Liski Erkki P.
Published: August 2016

Assuming that the trees in the forests are randomly distributed, it is demonstrated that plot sampling with unequal sized plots generally leads to a more precise estimate of the tree parameter totals than that with plots of equal sizes. The optimUlll choice of individual plot sizes has been discussed for a given (i) total plot size and (ii) cost (with an assumed cost structure). The problem of variance estimation when the plots are of unequal sizes has also been addressed .
A Generalized Formula for Variance in Unequal Probability Sampling
Authors: Biyani S.H. , Midha Chand K.
Published: August 2016

A variance formula is given for a general class of estimators for any fixed sample size design. A formula for an unbiased estimator of the variance is also provided. These results generalize the Yates-Grundy variance formula of the Horvitz-Thompson estimator.
Jackknife Parametric Estimation in a Truncated Arcsine Distribution
Authors: Ali M. Masoom , Woo Jungsoo , Lee Changsoo
Published: August 2016

Maximum likelihood and jackknife estimators of the location and scale parameters and the right-tail probability of the truncated arcsine distribution are proposed and the performances of the proposed estimators are compared in terms of bias and mean square error.
Some Supplements to Nearly Balanced Uniform Repeated Measurements Designs
Authors: Meitei K.K. Singh
Published: August 2016

A small coverage to the series of Nearly Balanced Uniform Repeated Measurements Designs (NBURMD), proposed by Sarkar and Roy (1995) is presented.
Some new Results on Probability Matching Priors
Authors: Datta Gauri Sankar , Ghosh Malay , Mukerjee Rahul
Published: August 2016

The paper has three components. First, for a realvalued parameter of interest orthogonal (Cox and Reid, 1987) to the nuisance parameter vector, we find a necessary and sufficient condition for the equivalence of second order quantile matching priors and highest posterior density regions matching priors within the class of first order quantile matching priors. Examples are presented to illustrate the result. Second, we develop a quantile matching prior in a normal hierarchical Bayesian model. This prior turns out to be different from the one proposed earlier by Morris (1983). Third, we obtain an exact matching result when the objective is prediction of a real-valued random variable from a location family of distributions.

AMS (2000) Subject Classification: 62F15, 62F25, 62E20
Parametric Identifiability and Model-Preserving Constraints
Authors: Dasgupta Abhijit , Gupta S. Das
Published: August 2016

The identifiability problem arises when a parametric family of probability distributions is not related to the space of parameters by a one-to-one correspondence. We give a brief review of the recent theoretical development relating to the identifiability problems, specifically focussing on the equivalence classes, conditions for identifiability and determination of identifying functions which lead to reparametrization. We present general definitions of identifiable constraints and model-preserving constraints, and indicate how any given parametric constraint can be expressed as an intersection of an identifiable constraint and a model-preserving constraint. We also present a necessary and sufficient condition for a linear constraint in a linear model to be model-preserving.

AMS{2000} Subject Classification: 62J12, 62J99.
A ­ Efficient Block Designs for Slope Ratio Assays
Authors: Dey Ashish Das, Aloke , Gupta Sudhir
Published: August 2016

A-efficient proper block designs for estimating blank and intersection contrasts are obtained for slope ratio assays. It turns out that a non-equireplicate design is more efficient than the best equireplicate design, whenever an equireplicate design is feasible. Some Aefficient designs are tabulated.

AMS(2000) Subject Classification: 62K05, 62K10.
A Statistical Analysis of Hillsdale Lake Data
Authors: Li Xiaoming , Sinha Bimal K. , Nussbaum Barry
Published: August 2016

In this paper we provide a proper statistical analysis of Hillsdale lake (in the suburb of Kansas city in USA) data and propose an estimate of good water clarity level with a desired level of confidence.

AMS (2000} Subject Classification: 62-07.
Generalized Linear Measurement-Error Models with Multivariate t-Measurement Error
Authors: Roy Surupa , Banerjee Tathagata
Published: August 2016

We consider a generalized linear model with canonical link when some of the covariates are subject to measurement error. In this article we propose a likelihood based method of adjusting the estimate of the regression parameter β by replacing normal measurment error distribution with a larger and flexible class of parametric distributions in order to get obust estimates of the regression parameter. We replace the normal measurement error model with the multivariate measurement error model. We also investigate the robustness of normal measurement error model against nonnormality. We show by conducting a simulation study that the maximum likelihood estimator of the regression parameter β in a logistic regression obtained under the assumption of normal measurement error performs poorly compared to the estimator obtained by assuming t measurement error when the true measurement error model is a t-distribution with known kurtosis parameter. The likelihood estimates are obtained by applying EM alogrithm instead of directly maximizing the likelihood function which involves evaluation of a high dimensional integral and in most situations it is unmanageable.
A Post-Mortem Analysis of Opinion and Exit Polls in West Bengal in May 2001
Authors: Sengupta Debasis , Chaudhuri Probal , Dewanji Anup , Roy Bimal K.
Published: August 2016

Statewide assembly election was held in May 2001 in West Bengal, where an alliance of leftist political parties has been in power since 1977. All opinion and exit polls conducted in the state predicted a closely contested election with a very slim projected majority for the ruling alliance, if at all. The actual outcome was another landslide victory for them. This paper reviews these opinion and exit poll results and shows certain statistical inconsistencies in their projected figures. A brief analysis of 2001 election results reveals some statistically significant evidence for the presence of anti-incumbancy factor acting against the ruling alliance candidates. This analysis also indicates that there was no significant decrease in the fragmentation of opposition votes in 2001 election compared to the most recent assembly election in 1996 and the most recent parliamentary election in 1999.
Estimating Sensitive Proportions from Randomized Responses in Unequal Probability Sampling
Authors: Chaudhuri Arijit
Published: August 2016

Warner (1965) introduced the technique of randomized response (RR) surveys in unbiasedly estimating the proportion of individuals in a community bearing a sensitive characteristic with an aim at protection of privacy. Many researchers developed alternative devices inducing refinements thereupon and posing modified problems of diverse peculiarities of interest. In each case dealing with qualitative characteristics the published literature permits sample selection only with equal probabilities ‘with’ replacement and as rare exception ‘without’ replacement. Three works by Chaudhuri (1999, 2001 a, b) alone illustrate application of uneuqal probability sampling without replacement to take specific care of some of these problems of attribute estimation. Here a few more such cases are covered with appropriately revised devices.
Limit Distribution for Conditional U-Statistics for Dependent Processes
Authors: Basu A.K. , Kundu Arindam
Published: August 2016

This paper deals with the studies of asymptotic normality and strong consistency of conditional U-statistics for dependent processes (including conditional mixing) under some regularity conditions. The novelty of the paper is that it unifies non parametric regression theory of stochastic processes (Bosq {1996)) with the theory of conditional U-statistics introduced by Stute (1991, 1994) and Liero (1991).
On Efficacies of Dalenius-Vitale Technique with Compulsory Versus Optional Randomized Responses from Complex Surveys
Authors: Saha Amitava
Published: August 2016

Dalenius and Vitale (1974) gave a Randomized Response (RR) Technique (RRT) to unbiasedly estimate the mean of a real variable relating to sensitive issues concerned with a finite population of individuals from whom a simple random sample (SRS) is taken with replacement (WR). Chaudhuri (2002) modified it to cover the general cases of unequal probability sampling schemes. Here we extend it to a still more general case when option is allowed for direct responses (DR) from those people in a part of a complex sample to whom the issues do not appear sensitive enough. With simulations from data certain specific cases are illustrated for a comparison of efficiencies.
Identifying Cross-Reactive Pollen Allergens : An Empirical Approach
Authors: Banerjee Tathagata , Bhattacharya Sabyasachi , Roy Indrani , Chatterjee Soma
Published: August 2016

Twenty airborne pollen grains and fungal spores prevalent in the air during February to June in and around Kolkata, India were found to have caused most of the allergy related respiratory illness among 100 atopic paients who visited the allergy clinic of the Institute of Child Health, Kolkata. They were subjected to the skin prick tests(SPT) using extracts from the allergens selected in accordance with the patient's history.

Strongly cross­reactive allergens are expected to show similar reactions with respect to wheal diameters when applied to a given patient. An exploratory data analysis of wheal diameters is proposed to discover the groups of cross reactive allergens.

Cluster analysis of wheal diameters is carried out to identify the groups of cross reactive allergens. It is well known that the same data set may produce altogether different clusters if different clustering methods are applied or different measures of dissimilarities are used. As such the clusters produceed by a single method and a single measure of dissimilarity cannot be relied upon. There always is a chance of false discovery of crqss­reactive allergens in an approach like this. Keeping this in view three clustering methods each with two dissimilarity measures are applied on the same SPT data set. The relative frequency of occurrence of a cluster is taken as a measure of confidence on the inference.

Four clusters of strongly cross­reactive allergens are identified among the twenty pollen allergens considered.

Identification of the of cross­reactive pollen allergens by using an empirical approach proposed in this paper may help the doctors in the allergy clinic to decide on the doses and number of pollen extracts to be used for immunotherapy. Such an approach results in considerable savings of time and cost. Also the discovery of groups of cross­reactive pollen allergens by such an empirical method may serve as a putative hypothesis for the medical researchers to be confirmed by biochemical experiments.
Estimation in Multi-Stage Sampling with Partially Missing First Stage Units
Authors: Chaudhuri Arijit
Published: August 2016

Summary

It is a practical problem to suitably estimate a finite population total providing an estimate of its measure of error when a sample is taken in multistages but some of the chosen first-stage units cannot be covered. Presuming the misses to occur at random, certain estimators of total along with estimators of their measures uf error are derived covering varying probability sampling.
Generalisation of Latin Square Type Association Scheme and Related Factorial Designs
Authors: Bandyopadhyay Sanjoy , Das Premadhis , Mandal Nripes Kumar
Published: August 2016

Summary

In this paper Latin Square type association scheme has been generalized and on the basis of this association scheme, a class of designs having orthogonal factorial structure and partial balance has been introduced. Some of its wmbinatorial properties have also been studied.
Some Aspects of Diallel Cross Designs with Correlated Observations
Authors: Sinha Karabi
Published: August 2016

The purpose of this article is to present some theoretical results for analysis of diallel cross designs in blocked situations with a possible correlation structure within each block.

AMS (2000} Subject Classification: 62K99
Stochastic Modeling of Buying Behaviour of Indian Customers
Authors: Maiti Pulakesh
Published: August 2016

A collaborative research on a problem of common interest and of immediate concern, which Hindustan Lever Limited (HLL)- a multinational company was facing or likely to face in the near future, was undertaken at the Indian Statistical Institute (ISI), Kolkata. The problem was to explain the purchase behaviour of frequently bought branded consumer products using stochastic models. For this, the panel data, after being coded to ensure anonymities were supplied to the ISI and on the basis of the available data, modeling of the buying behaviour was made. To begin with, some descriptive measures were calculated to understand the data and, finally, ‘Dirichlet’ multinomial model was used for explaining the buying behaviour of the customers in the specific segment with respect to the specific group of commodities. Because of not-so-wide coverage of the data and not-wellvalidated assumptions on the underlying distributions, the results failed to reveal much of the consumer behaviour pattern.
Almost Sure Lower Bound for the Selection Differential
Authors: Vasudeva R. , Moridani Alireza Y.
Published: August 2016

The difference between the average of the top k out of n order statistics and the population mean, expressed in population standard deviation units, is known as the selection differentiaL In this paper we obtain almost sure lower bound for selection differential for some continuous distributions.
Reliability Test Plan for Half Logistic Distribution
Authors: Rosaiah K. , Kantam R. R. L. , Rao B. Srinivasa
Published: August 2016

Sampling plans in which items that are put to test, to collect the life of the items in order to decide upon accepting or rejecting a submitted lot, are called reliability test plans. The basic probability model of the life of the product is specified as the well known half logistic distribution. For a given producer's risk, sample size, termination number and waiting time to terminate the test plans are compute. The preferability of the test plan over similar plans existing in the literature is established with respect to cost and time of the experiment.
Bayes Estimation of Measures of Effectiveness in an M/M/1 Queueing Model
Authors: Mukherjee S.P. , Chowdhury Shovan
Published: August 2016

Abtsrcat

In this paper, Bayes estimators of trafic intensity ( ρ) and other measures of effectiveness are worked out under squared error loss function (SELF) and entropy loss function (ELF) with Beta distribution as prior. Number of customers present in each of n iid M/ M/1 queueing systems are considered as data. A comprehensive simulation study has been carried out in the last section.
Outbreak of Strain of Influenza a (H1N1) in Pune City During July-October 2009
Authors: Kanade Rupali A. , Rajarshi M.B.
Published: August 2016

Abtsrcat

We consider data on the daily numbers of Swine flu (H1N1) cases during July 15, 2009 to October 9, 2009 in Pune, India. Fearing a major epidemic, the government closed educational institutes, malls and theaters for the period August 17, 2009 to August 23, 2009. We investigate the rate of spread of disease, efficacy of the government strategy in arresting the further growth of the disease in the city and the role of temperature and humidity in the spread of the disease.
A Property of D. B. Lahiri's Sampling Scheme
Authors: Chaudhuri Arijit
Published: August 2016

The unbiased ratio estimator based on sampling with probability proportional to “sample aggregated size-measures” is shown to be equally efficient as the optimal design-unbiased estimator for a finite population total, both under a linear regression model, through the origin.
Small Area Estimation for Skewed Data in Presence of Zeros
Authors: Chandra Hukum , Chambers Ray
Published: August 2016

The standard approach for small area estimation (SAE) based on linear mixed models often yields inefficient estimates for skewed data. Chandra and Chambers (2011a) described SAE for skewed data that are linear following a log-log transformation. In this case, they extended the model-based direct estimation (MBDE) approach of SAE (Chandra and Chambers, 2009). In particular, they derived sample weights via model calibration (Wu and Sitter, 2001) based on a log-log transform model with random area effects. We discuss SAE for skewed data in presence of zeros. In this context, we extend the Chandra and Chambers (2011a) methods of SAE under a mixture model. Results generated by simulation studies show that the method works well and produces an efficient set of small area estimates.
Option Pricing Under Compound Bernoulli and Poisson Perturbations of AR(1) Log-Price Process
Authors: Bhattacharya Tuhinsubhra , Sengupta Arindam
Published: August 2016

Compound Poisson and compound Bernoulli perturbations are introduced in addition to normal errors in the AR(1) model for discrete time version of log-price process. The formula for expected present value of European Call Option is extended to these cases. Other than European option, the valuation of Asian option is also considered and formulas for Geometric Asian option for AR(1) log-price process incorporating compound Poisson and compound Bernoulli jumps also obtained.
Inequality Measures for Bivariate Distribution with Load Sharing Dependence
Authors: Asha G , Jagathnath K.M.
Published: August 2016

Abtsrcat

In the univariate case Lorenz order and related summary measures of inequality such as the Gini Index seem to be quite generally accepted as appropriate indicators of inequality. Several extensions of the Lorenz order and Gini index to the multivariate setup has been proposed by various authors. The choice of an apt measure depends on the dependence enjoyed by the original bivariate distribution. When the distribution has a load sharing dependence it is more adequate to study the univariate conditional distributions than the joint distributions. In this paper we study the inequality measures specifically, Lorenz function and Gini index of these distributions and characterize the original bivariate distribution using these measures.
Cumulative Measure of Uncertainty for Conditionally Specified Models
Authors: Sunoj S.M. , Linu M.N.
Published: August 2016

Abtsrcat

Recently, Rao (2005) introduced an alternate measure of uncertainty called cumulative entropy that parallels Shannon entropy (see Asadi (2007)). Motivated by this, in the present paper, we introduce cumulative entropies for two types of conditionally specied models. Finally, an applica- tion of the cumulative entropy using the maximum entropy principle is also illustrated.
A Compromise Allocation Based on the Individual Mixed Allocations in Multivariate Stratified Sampling : A Goal Programming Approach
Authors: Varshney Rahul , Ahsan M.J. , Ansari Athar H.
Published: August 2016

Abtsrcat

In the literature of stratified random sampling Equal, Proportional, Optimum and several other allocations are well known. Usually any one type of allocation is selected and is applied to all the strata. But, there are practical situations in which some of the strata differ significantly in one or the other respect from others. In such situations the strata can be classified in mutually exclusive and exhaustive groups that favour a particular type of allocation. Different types of allocations may then be used in different groups. An allocation using the above criterion may be called a “Mixed Allocation”. In the present paper we considered a multivariate stratified population where more than one (say p) characteristics are defined on every unit of the population and developed a procedure to work out a compromise allocation that can be used for all characteristics under study. The problem of obtaining a compromise allocation is formulated as a Multiobjective Programming Problem that minimizes the deviation of all the sampling variances of the estimators of the p-population means from their respective optimum variances. The solution is obtained through Goal Programming Technique. A numerical example is also presented to illustrate the computational details.
A Nonparametric Test for Independence of Time to Failure and Cause of Failure of Current Status Competing Risks Data
Authors: Sreedevi E.P. , Sankaran P.G. , Dhanavanthan P.
Published: August 2016

Abtsrcat

Competing risks data are common in medical research in which lifetime of individuals can be classied in terms of causes of failure. Current status censoring occurs, if patients (objects) in a study are observed only once at a random monitoring time and only the information whether the event of interest has occurred or not prior to the monitoring time is available. Such data arise frequently from cross sectional studies in demography, epidemiology and reliability studies. In the present paper, we study current status data with competing risks. We develop a non parametric test for independence of time to failure and cause of failure of current status competing risks data. The asymptotic property of the test statistic is also discussed. Simulation studies and a real data example illustrate the practical utility of the procedure.
An Inventory Model with Server Interruptions and Positive Lead Time
Authors: Krishnamoorthy A. , Nair Sajeev S. , Narayanan Viswanath C
Published: August 2016

Abtsrcat

In this paper, we consider a single server queuing system with inventory where customers arrive according to a Poisson process. The time required to meet a demand follows an exponential distribution. Replenishment of inventory is according to the (s, S) policy with lead-time following exponential distribution. The service process may be interrupted in-between, with interruption time following exponential distribution. More than one in-terruption is possible during a particular service and at each time, the repair time of an interrupted server follows an exponential distribution. We assume that during interruption, the customer being served waits there until his service is completed and that no inventory is lost due to interruption. We also assume that, when the inventory level is zero no arrival is considered. Stability of the above system is analyzed and steady state vector is calculated using Matrix Analytic Methods. System performance measures such as expected number of customers in the system, expected inventory size, expected interruption rate, waiting time of a customer in the system etc are also obtained. A thorough numerical study of the dependence of the system performance measures on various system parameters has been carried out.
A Review of Conditions Under Which Blues and/or Blups in One Linear Mixed Model are also Blues and/or Blups in Another
Authors: Haslett Stephen J. , Puntanen Simo
Published: August 2016

Abtsrcat

The linear mixed model, with its combination of fixed and random parameters, plays a central role in many statistical applications. Here we review results on conditions for best linear unbiased estimates (BLUEs) of estimable functions of fixed parameters under one linear mixed model to remain BLUEs under a second model, which difiers from the first in covariance structure. Without making full rank assumptions for design matrices or covariance matrices, we also review results for the conditions under which best linear unbiased predictors (BLUPs) of random parameters under the first model remain BLUPs under the second model, and for the conditions under which both BLUEs and BLUPs under the first model remain the BLUEs and BLUPs under the second. We also provide a rather generous list of related references.
General Efficiency Balanced (GEB) Block Designs with Correlated Observations for Even Number of Treatments
Authors: Majumder A. , Patil S.G. , Manjunatha G.R.
Published: August 2016

Abtsrcat

Kiefer and Wynn (1981) developed optimality properties of 1st Order neighbor balanced designs. These neighbor balanced designs require a large number of blocks, specially, for even number of treatments. Construction of block designs for even number of treatments with correlated observations with lesser number of blocks is a challenge to researchers. In the present paper, an attempt has been made to construct efficient designs with even number of treatments in lesser number of blocks considering the observations, correlated of 1st order neighbors. The general efficiency balanced (GEB) block designs (Das and Ghosh, 1985 and Kageyama and Mukerjee, 1986) with correlated observations have been constructed for even number of treatments. The structure of the C-matrix of the design has been derived and the canonical efficiencies, A and D efficiencies of the resultant GEB designs are also obtained for different values of the correlation coefficient ρ (0 ≤ ρ ≤1).
An (s; Q) Inventory System with Positive Lead Time and Service Time Under N-Policy
Authors: Krishnamoorthy A. , Varghese Resmi , Lakshmy B.
Published: August 2016

Abtsrcat

We consider an ( s, Q) inventory system of non-perishable items with exponential service time where N-policy is adopted during lead time. Ordering quantity is fixed, and is Q = S - s. We assume that arrival of demands is according to a Poisson process and lead time follows exponential distribution. N-policy is used in such a way that as and when the onhand inventory reaches the level s - N during a lead time, a local purchase of Q + N units is made by cancelling the replenishment order that is already placed. We obtain product-form solution for the state-probabilities. Several performance measures of the system are derived. Analysis of inventory cycle length is carried out. An explicit cost function is obtained and is analysed numerically. Numerical illustrations indicate that the cost function is strictly convex in N. Also it is numerically established that the total expected cost as a function of s, S and N is strictly convex.
Malrotation in infancy and childhood
Authors: Arthur Felicity , Carachi Robert
Published: August 2016

Background and aims

The cardinal features of bilious vomiting and abdominal distension assist in the diagnosis of malrotation and volvulus, an often fatal condition in the neonate. When these symptoms are absent, however, diagnosis becomes trickier. In the older child, these classic symptoms are less likely to occur, or occur at a later stage, meaning these children suffer from a delay in diagnosis and consequently do poorer. There is a need, therefore, to identify the common presenting features in these older children in order to facilitate earlier diagnosis and improve outcomes.

Methods

We reviewed the current literature (Appendix 1) and then undertook a retrospective study in our own department to explore the presenting complaint, time to diagnosis, intraoperative findings and outcome of all children over the age of 28 days who underwent a Ladd’s procedure for malrotation at Royal Hospital for Sick Children, Glasgow (RHSC) between 1998 and 2014.

Results

It was found that children between the ages of 28 days and 15 years are more likely to display signs and symptoms such as chronic abdominal pain and non-bilious vomiting. Their complication rate was found to be significant.

Conclusion

Education surrounding the timely diagnosis of malrotation in the post-neonatal child is crucial.
Analysis of detectable angles of yarn hairiness in optical measurements
Authors: Sun Yinyin , Pan Ruru , Zhou Jian , Gao Weidong
Published: August 2016

Obstructed by the yarn core, the detectable length and the detection rate of a hairy fiber are mainly determined by the geometry of the yarn and the location of the fiber in an optical system. This paper presents a new theoretical method of analyzing detectable angles of yarn hairiness in optical measurements. Firstly, a cylindrical model of the yarn core is constructed by using the yarn diameter, and spiral lines on the cylinder are drawn using the twist angle of the yarn. Secondly, hairy fibers are simulated by short-line segments passing a spiral line and the Z-axis of the model. The yarn model is projected onto a plane under the assumption of a collimated light source, which is the condition similar to that of optical measurements. The yarn model is cut by a plane parallel to the axes of the Cartesian coordinate system ( XOY) at the emergence points of hairy fibers. Finally, the relationship between the hairiness length and other factors, such as the test length, yarn diameter and detectable angle (i.e. the angle at which hairy fiber can be detected) is established. It has been demonstrated that the detection angle dictates not only the length of each hairiness but also the rate of detectable hairiness in the scene. Given a detectable angle, the upper and lower limits of detectable hairiness lengths can be predicted. The verification results of the detection rate by three measurement methods indicate that the detection rates of optical measurements have a certain guidance function for correcting the hairiness results of optical measurements.
Enhancing thermal-moisture comfort of a chest wader with lining for fishermen
Authors: Liu Zheng , Zou Fengyuan , Zhan Qing , Xu Bugao
Published: August 2016

As basic protective clothing, a chest wader needs to be worn by fishermen during wading work. Its thermal and moisture performance would directly influence fishermen’s comfort and health. In order to increase the thermal-moisture comfort for fishermen, this research aimed to design a new lining chest wader and to carry out both subjective and objective evaluations on its comfort properties. By simulating moisture absorption under a hydraulic pressure environment, we tested the water absorption and conductivity of the selected fabrics and water-absorbent resin materials, and used an appropriate combination of the fabric and the resin to cover different sweating areas of the human body. Ten subjects were recruited to conduct the wearing test on the chest wader to evaluate its thermal-moisture performance. The objective evaluation involved tracking the changes in temperature and relative humidity at four body parts when a participant wore the chest wader, while the subjective evaluation included a questionnaire about the wearing experience on the thermal-moisture comfort and operation convenience. The experimental results showed that the new lining enhanced the comfort significantly. Compared with the common chest wader, the new lining reduced the relative humidity of chest wader on average by 30% approximately, with the largest improvement being at the calf, followed by the thigh and crotch. The thermal-moisture performance of the chest wader was also influenced by the hydraulic pressure of the working environment and the ease allowance to the wearing body.
Moisture management finish on cotton fabric by electrospraying
Authors: Prabu GTV , Chattopadhyay Sajal K , Patil Prashant G , Arputharaj Anthonysamy , Mandhyan PK , Prasad Guruswami K , Vivekanandan MV , Hadge Gopal B , Nadanathangam Vigneshwaran
Published: August 2016

In this work, a moisture management cotton fabric developed by electrospraying a hydrophobic polymer on the inner surface (close to the skin) of the fabric was investigated. The Janus sheet architecture, that is, one surface ultra-hydrophobic and the other hydrophilic, was obtained in a 100% cotton fabric that is otherwise hydrophilic on both surfaces. The generation of nano-scale surface roughness by electrospraying fluorocarbon resulted in ultra-hydrophobicity (contact angle more than 140 degrees) on the inner surface of the cotton fabric while retaining hydrophilicity (contact angle less than 90 degrees) on the outer surface, thereby imparting the moisture management feature due to one directional water/sweat transport. The overall (liquid) moisture management capability of the cotton fabric could be significantly improved from 2.5 to 4.0, on the scale of 5. The fairly uniform distribution of fluorocarbon as electrosprayed particles on the inner surface of the cotton fabric was revealed by scanning electron microscopy and confirmed by time-of-flight secondary ion mass spectrometry. The developed protocol is eco-friendly and commercially scalable owing to its minimum chemical usage and zero effluent discharge.
A call to adjuncts, bearing witness
Authors: Kinder-Pyle Charles Scott
Published: August 2016

Prolepsis and Alterity. The contention of this article is that Wolfhart Pannenberg’s prolepsis, coupled with Emmanuel Levinas’s alterity, will matter a great deal to the millennial generations to come.
The otherness of Onesimus: Re-reading Paul’s Letter to Philemon from the margins
Authors: Lim Sung Uk
Published: August 2016

Onesimus has so far remained a colonized or marginalized other in the text and history of reception across historical and cultural constraints. In contrast to this colonizing strategy of reading, the thesis of this paper is that Onesimus, as a minor character, plays a major role in liberating himself from the bondage of slavery’s hierarchical structures within the context of Roman imperial rule. There is a commonly held consensus among most, though not all, Western interpreters that Philemon is the letter to Philemon written by Paul on behalf of Onesimus as the other who is marginalized. That is, a “reading for” Onesimus as the other is ultimately doomed to a reading of marginalizing Onesimus as the colonized other. Ironically, such a “reading for” Onesimus has looked down on his agency in the process of interpretation in the fullest sense. Rather, my reading leans towards a “reading with” Onesimus as a subversive character to regain his long-suppressed voice. Toward this end, I propose reading the letter to Philemon from the marginalized perspective of Onesimus rather than from the central perspective of Paul or Philemon. To do so, I first foreground a postcolonial reading strategy as a critical angle of inquiry alongside narrative and deconstructive criticisms. I then reconstruct Onesimus in terms of plot and characterization through a postcolonial lens. Finally, I deconstruct the hierarchy of social structures inherent in the story of Philemon through a postcolonial optic.
Reader-response-criticism in the light of the scriptural principle
Authors: Körtner Ulrich H. J.
Published: August 2016

This article discusses the issue of deconstructing and reconstructing the scriptural principle of the Reformation. As will be shown, such a reconstruction in the light of reader-response-criticism requires engagement with the concerns of the classical doctrine of inspiration. It also allows a fresh look at the fact and the hermeneutical problem that there exists a variety of concepts of a Christian canon of the Bible.
Saving Samuel Huntington and the Need for Pragmatic Civil–Military Relations
Authors: Travis Donald S.
Published: August 2016

How the U.S. military establishment interacts with other parts of the American government and the people impacts American national power. Because civil–military relationships are influenced by the context of the environment and the “kind of war” being waged, there are a variety of ways that military and civilian leaders can work together to improve the nation’s security. This article proposes an alternative civil–military relations model called pragmatic civilian control. It integrates Samuel Huntington’s objective civilian control theory with traditional American political philosophy and concepts established by Morris Janowitz, while accounting for current geopolitical conditions.