This article addresses the problem of estimating the population mean in systematic sampling using information on an auxiliary variable. A class of estimators for the population mean is defined with its properties under large sample approximation. It has been shown that the proposed class of estimators is better than the usual unbiased estimator, Swain (1964 Swain, A. K. P. C. 1964. The use of systematic sampling in ratio estimate. J. Ind. Stat. Assoc., 2(213): 160–164. [Google Scholar] ) estimator, Shukla (1971 Shukla, N. D. 1971. “Systematic sampling and product method of estimation”. In Proceeding of all India Seminar on Demography and Statistics, Varanasi, India : B.H.U. [Google Scholar] ) estimator, and usual regression estimator. The results have been illustrated through an empirical study.
.This paper considers the problem of estimating the population mean of the study variable Y using systematic sampling in presence of an auxiliary variable X. A class of estimators is proposed and its properties are studied under large sample approximation. It is shown that the proposed class of estimators is more efficient under certain realistic conditions than the usual unbiased estimator, e.g., Swain's (1964) ratio estimator, Shukla's (1971) product estimator and modified estimators. The two phase sampling version of the suggested class of estimators in systematic sampling is introduced along with its properties. An empirical study is provided to illustrate the results of this paper.
1 January 2014 in Model Assisted Statistics and Applications
This paper addresses the problem of estimating the population proportion π S possessing the sensitive attribute using stratified random sampling. Two alternatives to Kim and Warde [12] stratified randomized response model have been proposed. The prop
16 November 2015 in Model Assisted Statistics and Applications
In this article, some new randomized response models have been proposed. Properties of the proposed randomized response models have been studied. The proposed models are found to be more efficient than the randomized response models studied by Himmel