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Improved Estimators for Simple Random Sampling and Stratified Random Sampling Under Second Order of Approximation

Author

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  • Prayas Sharma
  • Rajesh Singh

Abstract

Singh and Solanki (2012) and Koyuncu (2012) proposed estimators for estimating population mean Y . Up to the first order of approximation and under optimum conditions, the minimum mean squared error of both the estimators is equal to the MSE of the regression estimator. In this paper, we have tried to find out the second order biases and mean square errors of these estimators using information on auxiliary variable based on simple random sampling. Finally, we have compared the performance of these estimators with some numerical illustration.

Suggested Citation

  • 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.
    • Handle: RePEc:csb:stintr:v:14:y:2013:i:3:p:379-390
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    Cited by:

    1. 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.
    2. Mir Subzar & Showkat Maqbool & Tariq Ahmad Raja & Surya Kant Pal & Prayas Sharma, 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.

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