cometadata/datacite-titles-descriptions-related-identifiers huggingface dataset:
DOI: 10.14457/cu.the.2016.174
title: First digit distributions of partial derivatives of copulas

description: We propose an indicator of dependence between two random variables X and Y whose distribution functions are continuous. The starting point of our investigation is the well-known fact that if C is the copula of X and Y , then the conditional expectations of Y given X and of X given Y are completely determined by the first partial derivatives of C. We then investigate whether the distributions of the first digits of @1C and @2C can give rise to a measure of dependence. Our candidates are normalized maxima of the first digit distributions of @iC. We also show that these normalized maxima attain minimum value if X and Y are independent and attain maximum value when they are completely dependent. However, both converses are not true as we are able to produce counterexamples. At last, we introduce a numerical computation of the dependence indicators. Although neither independence nor complete dependence can be characterized by the dependence indicators, we illustrate via some parametric classes of copulas that their numerical values are directly proportional to those of the dependence measures introduced by Siburg-Stoimenov and of Trutschnig.
DOI: 10.14457/cu.the.2016.175
title: Regularity of some transformation semigroups with restricted range

description: Let X be a nonempty set and T(X) the full transformation semigroup on X. We denote by AM(X) the set of almost one-to-one transformations on X and AE(X) the set of almost onto transformations on X. Also, we de ne OM(X) and OE(X) to be the complement of the set AM(X) and AE(X) in T(X), respectively. It is known that AM(X) and AE(X) are regular semigroups under certain conditions, but OM(X) and OE(X) are not regular semigroups. In this thesis, some generali- sations of T(X) and its subsemigroups are introduced. Let Y be a nonempty subset of X. We de ne T(X; Y ) to be the set of transformations on X whose range is a subset of Y . Likewise, we have a generalisation of AM(X), AE(X), OM(X) and OE(X), namely, AM(X; Y ) = AM(X)\T(X; Y ), AE(X; Y ) = AE(X)\T(X; Y ), OM(X; Y ) = OM(X) \ T(X; Y ) and OE(X; Y ) = OE(X) \ T(X; Y ). Our thesis is devoted to the study of regularity of these semigroups, and their parallels linear transformation semigroups.
DOI: 10.14457/cu.the.2016.176
title: Half-normal approximation for Number of returns to origin of random walks

description: Let (Xn) be a sequence of independent identically distributed random variables with P(X₁=1) = p, P(X₁ = -1) for 0 &lt; p &lt; 1. A random walk is a discrete time stochastic process (Sn) defined by S₀=0 and [Equation] for n ≥1. Kn is called the number of returns to the origin if [Equation] and [Equation]. In case of symmetric random walk, i.e., [Equation] , D bler (2015) showed that the distribution of Kn can be approximated by half-normal distribution and he also gave a uniform bound of this approximation. After that Sama-ae et.al. (2016) gave non-uniform bounds. In this thesis, we improve a non-uniform bound of Sama-ae et.al. In case of asymmetric random walk, i.e., [Equation], we give a distribution of Kn and show that it is not convergent to half-normal distribution
DOI: 10.14457/cu.the.2016.177
title: Theoretical studies of electronic properties of Methylammonium lead iodide perovskite under high pressure

description: Many researchers have claimed that hybrid organic−inorganic perovskite (HOIP) could hold the key to the new era of photovoltaic technology, owing to its efficiency, both energetically and economically. Despite all its merits, perovskite solar cell is plagued by an indispensable draw back; it degrades precipitously under sunlight. Not only sunlight that has destructive effects on perovskites, humidity and high temperature also cause the compound to disintegrate. In this work, we present a review on structural properties of the archetypal perovskite, the methylammonium lead iodide perovskite, as reported by various experiments. We performed density functional theory calculations to study the role of methylammonium dynamics to the structural properties. We also cover the most up-to-date reports on pressurization experiments. The effects of pressure on the material structural and electronic properties is also discussed.
DOI: 10.14457/cu.the.2016.178
title: Nonexistence of global solutions of semilinear Pseudoparabolic equation in cone domain

description: [Equation]
DOI: 10.14457/cu.the.2016.179
title: Boolean model for biochemical processes related To effect of cha in cancer cells

description: Cancer is a group of diseases involving abnormal cell growth. In the present, cancer is one of the major diseases causing death annually. To inhibit cancer cells, several substances have been proposed and studied; for example, a compound namely a coumarin compound has been studied since it can inhibit cancer cells. However, the detailed biochemical processes explaining the effect of this substance is quite rare. Therefore, it is an important task to understand this effect in changing the biochemical pathways in more detail by mathematical methods. In this study, we construct Boolean model which includes apoptosis, calcium signaling pathway, and inflammation to explain the effect of a coumarin compound in cancer cells. Finally, the model will be used to explain the signaling processes and identify more new potential targets in treating cancers.
DOI: 10.14457/cu.the.2016.180
title: k-zero-divisor hypergraphs of finite commutative rings

description: Let R be a commutative ring with nonzero identity and k ≥ 2 be a fixed integer. The k-zero-divisor hypergraph Hk(R) of R consists of the vertex set Z(R; k), the set of all k-zero-divisors of R, and the (hyper)edges of the form {α1, α2, α3, .... αk} where α1, α2, α3, ..., αk are k distinct elements in Z(R; k), which means (i) α1α2α3..., αk = 0 and (ii) the products of all elements of any (k - 1)- subsets of {α1, α2, α3, ..., αk} are nonzero. This thesis provides (i) a necessary con- dition of commutative rings that implies the completeness of their k-zero-divisor hypergraphs; (ii) a necessary condition of commutative rings that implies the abil- ity to partition their set of all k-zero-divisors into k partite sets and the complete- ness of that k-partite k-zero-divisor hypergraphs; and (iii) a necessary condition of commutative rings that implies the ability to partition their set of all -zero- divisors into k partite sets, for some integer σ ≥ k. Moreover, the diameter and the minimum length of all cycles of those hypergraphs are determined.
DOI: 10.14457/cu.the.2016.181
title: Non–uniform bound of normal approximation for Combinatorial random sums

description: In 2017, Frolov gave a uniform bound of normal approximation for combinatorial random sums. In this thesis, we find a non-uniform bound and investigate this bound for the random sums with random numbers having Poisson distributions.
DOI: 10.14457/cu.the.2016.182
title: Dimensional reduction of eleven dimensional supergravity on SU(2) group manifold and N=4 Gauged supergravity

description: The consistency at the level of equations of motion from the dimensional reduction giving rise to four-dimensional N = 4, half-maximal gauged supergravity from the unique supergravity in eleven dimensions is thoroughly veri ed in this study. Dimensional reductions are said to be consistent at the level of equations of motion if and only if substitutions of reduction ansatze in higher dimensional equations of motion yield all equations of motion for lower dimensional theory. Apart from some special cases, a Kaluza-Klein sphere reduction is generally not consistent. However, there exists an alternative way to obtain a consistent dimensional reduction. The guaranteed-consistent reduction, known as the Scherk- Schwarz reduction, can be found by performing the dimensional reduction on a group manifold of some particular Lie group. From the fact that the SU(2) group manifold is topologically a three-dimensional sphere S³, the Kaluza-Klein reduction involving S³ can be obtained from a group manifold reduction via replacing the S³ in the reduction ansatz by an SU(2) group manifold. N = 4 gauged supergravity in four dimensions is obtained from a seven-dimensional sphere S⁷ reduction ansatze by writing the S7 as S³ S³ S¹ and replacing each S³ by the SU(2) group manifold while the consistency of seven-dimensional sphere S⁷ reduction exists at the level of equations of motion. Apart from the main SO(4) gauged theory, another related N = 4 gauged supergravity in four dimensions, the Freedman-Schwarz model, can be obtained by using a one-way map between the two versions of N = 4 gauged supergravity. Moreover, the consistent reduction ansatze allow solutions in four-dimensional N = 4 SO(4) gauged supergravity theory to be embedded in eleven-dimensional supergravity.
DOI: 10.14457/cu.the.2016.183
title: Parameter-free outlier detection factor using weighted minimum consecutive pair

description: Outlier concept is one of the most significant topics in data mining. Many researches in outlier detections address an algorithm to generate the outlier scores which can be used to measure the outlierness of an instance in a dataset. Ordered distance difference outlier factor (OOF) is the parameter-free outlier detection algorithm which was published in 2013. This thesis proposes a new parameter-free outlier detection algorithm called a weighted minimum consecutive pair of the extreme pole outlier factor (WOF). The new outlier score of an instance is generated along the extreme poles by considering the radial projection of this instance and its consecutive pair. The minimum on each side of the instance will be weighted and used to create the WOF. The WOF algorithm has the O(n2) time complexity. To compare the effectiveness and time, WOF algorithm was applied with generated synthetic datasets and three UCI datasets.
DOI: 10.14457/cu.the.2016.184
title: 2-Absorbing R-ideals of modules over near rings

description: It is known that near rings and modules over near rings are generalized algebraic structures of rings and modules over rings, respectively. In this thesis, we introduce the concepts of 2-absorbing R-ideals of modules over near rings and 2-absorbing ideals of near rings which are generalization of prime R-ideals of modules over near rings and prime ideals of near rings, respectively. Moreover, we present some results analogous to those in ring theory. We provide the notions of strongly 2- absorbing R-ideals of modules over near rings and strongly 2-absorbing ideals of near rings and study some of their properties. Finally, we also focus on some results of 2-absorbing R-ideals of modules over decomposable near rings and 2-absorbing ideals of decomposable near rings.
DOI: 10.14457/cu.the.2016.185
title: Normal approximation for call function via Stein's method

description: A call function is an important tool in nance. One uses this function to compute a payo from investment. In this work, we are attentive to approximate the call function by dividing this work into three parts. First, we give uniform and non-uniform bounds on normal approximation for the call function without correction term. Second, we improve and nd the explicit constants of a bound on normal approximation for the call function with a correction term proposed by Karoui and Jiao in 2009. Third, we propose uniform and non-uniform bounds of such approximation. In the part of non-uniform bounds we present both polynomial and exponential non-uniform bounds. Our techniques are Stein's method and the zero bias transformation.
DOI: 10.14457/cu.the.2016.186
title: Pure ideals in T-semirings

description: In this thesis, we de ne and characterize right pure ideals, left pure ideals, right weakly pure ideals and left weakly pure ideals in T-semirings. We also characterize right weakly regular T-semirings by the properties of right pure ideals. Next, we introduce purely prime, purely semiprime, purely irreducible, strongly irreducible pure and purely maximal ideals in T-semirings and examine their relations. More- over, we can nd relationships between right pure ideals and purely irreducible ideals in T-semirings. Finally, we investigate the properties of right pure ideals and left pure ideals on T-semirings homomorphisms. We also investigate the prop- erties of them in quotient T-semirings and products of T-semirings.
DOI: 10.14457/cu.the.2016.187
title: Using computer for euclidean geometry problems

description: To solve a Euclidean geometry on the plane using only ruler and compass problem, we use properties of angles, sides and some related geometry properties which are equivalent to solving equations with multiple variables. Practically in order to solve a problem, we usually do trial and error which is a waste of time and might use unnecessary tools. By using a mathematical program, we can prevent human errors and unnecessary task on a problem. The idea of this work is to use a computer as a labour to help us solve the equations after teaching some necessary theorems to it. We create algorithms for a program to solve the problems.
DOI: 10.14457/cu.the.2016.188
title: Anomaly detection on time series from furthest neighbor window subseries

description: Anomaly detection in time series is classified into three types which are point anomaly, contextual anomaly, and collective anomaly. This work proposes a novel method called the Furthest Neighbor Window Subseries (FNWS) for detecting contextual anomalies which normally appear in a time series dataset. Three quartiles representing a local distribution are computed and relocated by subtracting the first data point in the window subseries. A vector of three quartiles —the lower quartile, the median and the upper quartile —is used to compute the distances among all window subseries and the furthest k-nearest neighbor distance is picked as the score. The collection of the one-dimensional score is sorted and the score quartiles are computed. The interquartile range rule from the adjusted boxplot for skew distributions is applied to identify anomalies. The empirical experiments on the benchmark time series datasets from Yahoo with a list of labeled outliers are performed and evaluated using precision, recall, and F-measure. The results show that FNWS works effectively and accurately having the average scores more than 80% on all metrics.
DOI: 10.14457/cu.the.2016.189
title: Investigation of sand resources by high resolution seismic reflection in Jomtein beach offshore area of Changwat Chonburi, Thailand

description: Jomtien beach has been facing with seriously coastal erosion nowadays. There are many solving erosion’s problems in the past, but there is no right ways to succeed. The best and fastest restoration that least affects to the environment is Beach Nourishments. In each of nourishing sand, it has to use a huge of sand must usually be filled like a cycle and spent high prices with sand pit or estuary sand. It is necessary to survey deposited sediment layers in the sea. For this sand resources survey, the technic has been used by high resolution Seismic Survey, it is of Jomtien beach offshore at Eastern, Thailand. Area covers 72 km2. The result of this survey is cross section of deposited sediment. Then the result has interpreted with 6 boreholes of data logger in studied area. From seismic data with data logger, it can separate 4 Unit; A – D. Unit A, thick sediment is about 3 m. that separate in the middle of studied area, and switch shortly with Unit B. Quantity of primary evaluation is about 1.5 m3. Unit B, thick sediment on the top is about 9 m. Some area has been separated with Unit A shortly. There is evaluated primarily about 62.5 million m3. Unit C, the characteristic is ancient channel. The width is around 400 m. The deepest is around 12 m. Quantity from primary evaluation is 20 million m3. Unit D, it is on the lowest and thickest. The thickness is about 22 m. The primary evaluation is 158 million m3. In the conclusion, the quantity of sand resources offshore Jomtien beach is from the seismic survey and interpretation with data logging. It is evaluated primarily potential sediment resources in studied area about 242 million m3.
DOI: 10.14457/cu.the.2016.190
title: Multiple arima subsequences aggregate time series Model to forecast cash in ATM

description: Presently, ATM is used to conveniently serve customers in financial banking for multiple services such as transfer, deposit, and withdrawal. The main concern of ATM is the lack of banknotes for customer withdrawing. Hence, one of the interesting ATM issues is to forecast cash demand on the individual ATM as a time series data. Typically, the customer cash usage behavior of ATM shows a sway and it often contains a hidden pattern due to multiple customer behaviors. Consequently, this research proposes a new forecasting model for predicting cash amount in ATM, called the multiple ARIMA subsequences aggregate time series model or the MASA model. In the algorithm process, the ATM data is split into the in-sample data for building the MASA model and the out-sample data for evaluating it. To build the MASA model, the aggregate technique is applied using the period of the in-sample data in order to reduce a sway of the time series which is subdivided into the training and the validating data. Then, subsequence patterns are generated and fitted using auto.arima function by the library forecast of the R programming language. They are evaluated using the symmetric mean absolute percentage error (SMAPE) on the validating data. In order to forecast a value of the next time step, the algorithm identifies the time step aggregate group and the best fitted ARIMA model from a subsequence containing that group. The algorithm then disaggregates the forecasted aggregate group value into individual future values using the ratio from the in-sample data. The MASA model is compared using SMAPE with the SARIMA and exponential smoothing model. The comparative analysis shows that the SMAPE of the MASA model is better than both models.
DOI: 10.14457/cu.the.2016.191
title: Rate of convergence of binomial formula for option pricing

description: The binomial and Black--Scholes formulas are tools for valuating a call option at any specified time. We have already known that the binomial formula converges to the Black--Scholes formula as the number of periods (n) converges to infinity. In this research, we give the rate of this convergence. Our order is [Equation] which is better than Cox, Ross and Robistein (1979), Leisen and Reimer (1996), Heston and Zhon (2000), Francine and Marc Diener (2004) and Chang and Palmer (2007). We also provide the explicit constant of the bound.
DOI: 10.14457/cu.the.2016.192
title: Empirical study on efficiency of Thailand stock market based on confidence interval of hurst index using DFA

description: We are interested in investigating the efficiency of Thailand stock markets (SET and MAI markets) by using the Hurst index based on the Detrended Fluctuation Analysis (DFA). This study is an extension of the work of Sukpitak and Hengpunya (2016) by using Monte Carlo simulation and statistical analysis to construct a confidence interval of Hurst index for the efficient market based on the assumption that the sample of Brownian motion represents assets prices in efficient markets, then applying the interval as an indicator for the efficiency of Thailand stock markets. We found that there is a consistency in the behavior of Hurst index among different time windows sizes based on a constructed confidence interval. Based on this study, the result shows that both SET and MAI markets have some inefficient periods and we fail to reject that the markets are efficient in the recent years. To get more accurate conclusion on the efficiency of Thailand markets, other tools or techniques are required.
DOI: 10.14457/cu.the.2016.193
title: Continuity on generalized topological spaces via hereditary classes

description: A generalized topology is a collection of subsets of a given nonempty set containing the empty set and arbitrary unions of the elements in this collection. By using a concept of hereditary classes, a generalized topology can be extended to the new one, called a generalized topology via a hereditary class. In this thesis, we study on continuity on generalized topological spaces via hereditary classes. The continuity can be described in various situations.
DOI: 10.14457/cu.the.2016.194
title: Unit commitment recourse model for electric power system with renewable energy

description: The renewable energy such as wind or solar power plays an important role in a modern power system. Due to low reliability of renewable energy source, uncertainty in a system is increasing. There are many models proposed for managing systems with renewable energy. However, these models are complicated and not computationally efficient when applied to large scale problems. In this work, we propose a stochastic model which incorporates uncertainty in renewable energy. A two-stage recourse model is used for our stochastic model with finite scenarios. Additionally, we increase a spinning reserve power of the system by adding a reserve from renewable energy. The additional reserve is computed from the expected value of renewable energy serving the system. Moreover we propose an analysis process to determine a suitable spinning reserve level once the renewable energy introduced to a conventional power system.
DOI: 10.14457/cu.the.2016.195
title: Median-difference window subseries score for contextual anomaly on time series

description: Anomaly detection on time series is one of the exciting topics in data mining. The aim is to find a data point which is different from the majority, called an anomaly. In this thesis, a novel anomaly score called Median-Difference Window subseries Score (MDWS) is proposed with its algorithm together with the parameter of the recommended window length for detecting the contextual anomalies on time series data. It is computed as the subtraction of the middle-window point with the median of all data points within the current window. The proposed MDWS algorithm is implemented as the median-update of the current window subseries to maintain the linear time complexity. Two anomaly thresholds are applied from interquartile range rule. The experimental results show that the MDWS has the highest performance on both synthetic and real world benchmark datasets from Yahoo! and Numenta comparing with others existing anomaly detection methods. Moreover, MDWS algorithm is also faster than other algorithm on the large dataset.