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A Class of Exponential-Type Estimators in Systematic Sampling

A Class of Exponential-Type Estimators in Systematic Sampling Abstract. 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Economic Quality Control de Gruyter

A Class of Exponential-Type Estimators in Systematic Sampling

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References (8)

Publisher
de Gruyter
Copyright
Copyright © 2013 by the
ISSN
0940-5151
eISSN
1869-6147
DOI
10.1515/eqc-2013-0005
Publisher site
See Article on Publisher Site

Abstract

Abstract. 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.

Journal

Economic Quality Controlde Gruyter

Published: Mar 1, 2013

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