Improved Estimators of Population Mean under Nonresponse in Successive Sampling

Author:

Sharma Prayas1ORCID,Pal Surya K.2ORCID,Singh Housila P.3

Affiliation:

1. Decision Sciences, Indian Institute of Management Sirmaur, Sirmaur, HP, India

2. Department of Mathematics, School of Basic Sciences and Research, Sharda University, Greater Noida, UP 201310, India

3. School of Studies in Statistics, Vikram University, Ujjain, India

Abstract

It is well accepted that suitable additional information improves the efficiency of an estimator but at the same time, it faced the situation of nonresponse. The two-occasion successive sampling is useful to handle the absence of a full response from respondents. In this present study, we have developed exponential estimators for population mean using a subsampling nonrespondent procedure. To show the efficacy of the recommended estimators, several properties are derived, and respective optimum replacement strategies are inferred. To evaluate the performance of the recommended estimators empirically, a computational study is carried out as well. It was found that the recommended estimators outperform the existing ones under the nonresponse in successive sampling.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Reference21 articles.

1. Sampling on successive occasions with partial replacement of units;H. D. Patterson;Jour Roy, Statist. Assoc., B,1950

2. Rotation design for sampling on repeated occasions;J. N. K. Rao;Journal of the American Statistical Association,1964

3. Sampling rotation method with auxiliary variable;S. Feng;Communications in Statistics - Theory and Methods,1997

4. Successive sampling using additional information on both the occasions;R. S. Biradar;Calcutta. Statist. Assoc. Bull.,2001

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