Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Ratio-Cum-Product Estimators of Population Mean Using Known Population Parameters of Auxiliary Variates

  • Tailor, Rajesh (School of Studies in Statistics, Vikram University) ;
  • Parmar, Rajesh (School of Studies in Statistics, Vikram University) ;
  • Kim, Jong-Min (Statistics, Division of Science and Mathematics, University of Minnesota-Morris) ;
  • Tailor, Ritesh (Institute of Would Science and Technology)
  • Received : 20100600
  • Accepted : 20110100
  • Published : 2011.03.31
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Abstract

This paper suggests two ratio-cum-product estimators of finite population mean using known coefficient of variation and co-efficient of kurtosis of auxiliary characters. The bias and mean squared error of the proposed estimators with large sample approximation are derived. It has been shown that the estimators suggested by Upadhyaya and Singh (1999) are particular case of the suggested estimators. Almost ratio-cum product estimators of suggested estimators have also been obtained using Jackknife technique given by Quenouille (1956). An empirical study is also carried out to demonstrate the performance of the suggested estimators.

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References

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  1. New alternatives to ratio estimators of population variance in sample surveys vol.247, 2014, https://doi.org/10.1016/j.amc.2014.08.093