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An Improved Estimator for Population Mean Using Auxiliary Information in Stratified Random Sampling

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  • Rajesh Singh
  • Sachin Malik
  • Viplav K. Singh

Abstract

In the present study we propose a new estimator for population mean Y of the study variable y in the case of stratified random sampling using the information based on auxiliary variable x. An expression for the mean squared error (MSE) of the proposed estimator is derived up to the first order of approximation. The theoretical conditions have also been verified by a numerical example. An empirical study demonstrates the efficiency of the suggested estimator over sample mean estimator, usual separate ratio, separate product estimator and other proposed estimators

Suggested Citation

  • Rajesh Singh & Sachin Malik & Viplav K. Singh, 2014. "An Improved Estimator for Population Mean Using Auxiliary Information in Stratified Random Sampling," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 15(1), pages 59-66, January.
  • Handle: RePEc:csb:stintr:v:15:y:2014:i:1:p:59-66
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    File URL: http://index.stat.gov.pl/repec/files/csb/stintr/csb_stintr_v15_2014_i1_n5.pdf
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    References listed on IDEAS

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    1. Lakshmi N. Upadhyaya & Rohini Yadav & Housila P. Singh & S. Chatterjee, 2011. "Improved separate ratio exponential estimator for population mean using auxiliary information," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 12(2), pages 401-412, October.
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    Cited by:

    1. Monika Saini & Ashish Kumar, 2017. "Ratio estimators for the finite population mean under simple random sampling and rank set sampling," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(2), pages 488-492, June.

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