Sampling designs dependent on sample parameters of auxiliary variables [electronic resource] /
Wywiał, Janusz L.author.
The book offers a valuable resource for students and statisticians whose work involves survey sampling. An estimation of the population parameters in finite and fixed populations assisted by auxiliary variables is considered. New sampling designs dependent on moments or quantiles of auxiliary variables are presented on the background of the classical methods. Accuracies of the estimators based on original sampling design are compared with classical estimation procedures. Specific conditional sampling designs are applied to problems of small area estimation as well as to estimation of quantiles of variables under study. .
Description based upon print version of record.
Preface; Contents; 1 Introduction and Basic Sampling Strategies; 1.1 Aim and Outline of This Book; 1.2 Population and Parameters; 1.3 Sampling Design and Sampling Scheme; 1.4 Estimation; References; 2 Sampling Designs Dependent on Sample Moments of Auxiliary Variables; 2.1 Sampling Design Proportional to Sample Mean; 2.2 Sampford's Sampling Design; 2.3 Sampling Design Proportional to Sample Variance; 2.4 Sampling Designs Proportional to the Generalized Variance; References; 3 Sampling Designs Based on Order Statistics of Auxiliary Variable; 3.1 Basic Properties of Order Statistics
3.2 Sampling Design Proportional to Function of One-Order Statistic3.3 Sampling Design Proportional to Function of Two-Order Statistics; 3.4 Sampling Design Proportional to Function of Three-Order Statistics; References; 4 Simulation Analysis of the Efficiency  of the Strategies; 4.1 Description of the Simulation Experiments; 4.2 Efficiency of Estimation Strategies Dependent on Sample Moments or Order Statistics; 4.3 Efficiency of Estimation Strategies Dependent  on the Sum of Order Statistics; 4.4 Efficiency Estimation of Domain Mean; 4.5 Estimation of Quantiles; 4.6 Conclusions; References
Includes bibliographical references.
The book offers a valuable resource for students and statisticians whose work involves survey sampling. An estimation of the population parameters in finite and fixed populations assisted by auxiliary variables is considered. New sampling designs dependent on moments or quantiles of auxiliary variables are presented on the background of the classical methods. Accuracies of the estimators based on original sampling design are compared with classical estimation procedures. Specific conditional sampling designs are applied to problems of small area estimation as well as to estimation of quantiles of variables under study. .
Statistics .
Statistical Theory and Methods.
Statistics for Social Sciences, Humanities, Law.