A class of exponential chain ratio-product type estimators with two auxiliary variables under double sampling scheme

In this paper an exponential chain ratio-product-type estimators in double sampling has been developed using information on two supplementary characters for estimating the finite population mean. The optimum property of the suggested strategy has been studied. Comparisons of the efficiency of the proposed estimator under the optimality condition with other estimators have been presented through empirical investigations

A Ratio-Cum-Product Type Exponential Estimator Using Double Sampling for Stratification

This paper proposes an improved class of ratio-cum-product type exponential estimator for estimating the finite population mean of the study variate (when sampling of study variate is costly or difficult to fetch). The proposed estimator uses two auxiliary variates associated with study variate in order to increase its efficiency under the double sampling for stratification scheme. The expression for the bias and mean square error (MSE) of the proposed estimator are obtained under large sample approximation. Efficiency comparisons are made to demonstrate the performance of the proposed estimation procedure over the existing estimation procedures. We have considered the six natural population data-sets to examine the merits of the proposed estimator and carried out the empirical study in support of theoretical findings. Numerical illustration shows that the proposed estimator is more efficient

On Improvement in Estimating Population Parameter(s) Using Auxiliary Information

The purpose of writing this book is to suggest some improved estimators using auxiliary information in sampling schemes like simple random sampling and systematic sampling. This volume is a collection of five papers. The following problems have been discussed in the book: In chapter one an estimator in systematic sampling using auxiliary information is studied in the presence of non-response. In second chapter some improved estimators are suggested using auxiliary information. In third chapter some improved ratio-type estimators are suggested and their properties are studied under second order of approximation. In chapter four and five some estimators are proposed for estimating unknown population parameter(s) and their properties are studied. This book will be helpful for the researchers and students who are working in the field of finite population estimation.Comment: 63 pages, 8 tables. Educational Publishing & Journal of Matter Regularity (Beijing

A Generalised Family of Estimator for Estimating Unknown Variance Using Two Auxiliary Variables

The present study deals with the estimation of unknown variance using two auxiliary variates under simple random sampling without replacement (SRSWOR) scheme. We have also extended our work to the case of the double sampling scheme. The asymptotic expressions for the mean squared errors of the proposed estimators are derived and their optimum values have been obtained. A comparison between the existing and the proposed class of estimators of Sy2 has been made empirically with the help of two population data taken from [1] and [10]

An Ecient Class of Estimators of Population Mean in Two-Phase Sampling Using Two Auxiliary Variables

<p>This study is devoted to obtain an ecient estima-tor for population mean in two-phase sampling using two auxiliary variables following Vishwakarma and Kumar (2014). Expressions for bias and mean squared error(MSE) are obtained to rst or-der of approximation. The new proposed estimator is compared with some competitor estimators both theoretically and numeri-cally using eight dierent data sets. It has been shown that the new proposed estimator gives more ecient results as compared to its competitor estimators.</p

A Simple Random Sampling Modified Dual to Product Estimator for estimating Population Mean Using Order Statistics

Bandopadhyaya (1980) developed a dual to product estimator using robust modified maximum likelihood estimators (MMLE’s). Their properties were obtained theoretically and supported through simulations studies with generated as well as one real data set. Robustness properties in the presence of outliers and confidence intervals were studied

THE EFFICIENT USE OF SUPPLEMENTARY INFORMATION IN FINITE POPULATION SAMPLING

The purpose of writing this book is to suggest some improved estimators using auxiliary information in sampling schemes like simple random sampling, systematic sampling and stratified random sampling. This volume is a collection of five papers, written by nine co-authors (listed in the order of the papers): Rajesh Singh, Mukesh Kumar, Manoj Kr. Chaudhary, Cem Kadilar, Prayas Sharma, Florentin Smarandache, Anil Prajapati, Hemant Verma, and Viplav Kr. Singh. In first paper dual to ratio-cum-product estimator is suggested and its properties are studied. In second paper an exponential ratio-product type estimator in stratified random sampling is proposed and its properties are studied under second order approximation. In third paper some estimators are proposed in two-phase sampling and their properties are studied in the presence of non-response. In fourth chapter a family of median based estimator is proposed in simple random sampling. In fifth paper some difference type estimators are suggested in simple random sampling and stratified random sampling and their properties are studied in presence of measurement error. The authors hope that book will be helpful for the researchers and students who are working in the field of sampling techniques