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Efficient Estimators Of Population Mean Using Auxiliary Information Under Simple Random Sampling

Author

Listed:
  • Subzar Mir
  • Maqbool Showkat
  • Raja Tariq Ahmad

    (Division of Agricultural Statistics, SKUAST-K Shalimar, Srinagar, 190025, Kashmir, India .)

  • Pal Surya Kant

    (School of Studies in Statistics, Vikram University, Ujjain, 456010, Madhya Pradesh P., India .)

  • Sharma Prayas

    (Department of Decision Sciences, School of Business, UPES, Dehradun, India .)

Abstract

In the present study we have proposed an improved family of estimators for estimation of population mean using the auxiliary information of median, quartile deviation, Gini’s mean difference, Downton’s Method, Probability Weighted Moments and their linear combinations with correlation coefficient and coefficient of variation. The performance of the proposed family of estimators is analysed by mean square error and bias and compared with the existing estimators in the literature. By this comparison we conclude that our proposed family of estimators is more efficient than the existing estimators. To support the theoretical results, we also provide the empirical study.

Suggested Citation

  • Subzar Mir & Maqbool Showkat & Raja Tariq Ahmad & Pal Surya Kant & Sharma Prayas, 2018. "Efficient Estimators Of Population Mean Using Auxiliary Information Under Simple Random Sampling," Statistics in Transition New Series, Polish Statistical Association, vol. 19(2), pages 219-238, June.
    • Handle: RePEc:vrs:stintr:v:19:y:2018:i:2:p:219-238:n:7
    DOI: 10.21307/stattrans-2018-013
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    References listed on IDEAS

    as
    1. H.P. Singh & Ritesh, 2005. "Estimation of finite population mean with known coefficient of variation of an auxiliary character," Statistica, Department of Statistics, University of Bologna, vol. 65(3), pages 301-313.
    2. Prayas Sharma & Rajesh Singh, 2013. "Improved Estimators for Simple Random Sampling and Stratified Random Sampling Under Second Order of Approximation," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 14(3), pages 379-390, September.
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