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Ratio estimators for the finite population mean under simple random sampling and rank set sampling

Author

Listed:
  • Monika Saini

    (Manipal University Jaipur)

  • Ashish Kumar

    (Manipal University Jaipur)

Abstract

This paper proposes ratio estimators for the population mean by using auxiliary information efficiently under simple random sampling (SRS) and rank set sampling (RSS). We obtain the bias and mean square error for the proposed estimators and show that the proposed estimator under RSS is more efficient than the estimator under SRS. The results have been illustrated numerically through simulation study.

Suggested Citation

  • 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.
  • Handle: RePEc:spr:ijsaem:v:8:y:2017:i:2:d:10.1007_s13198-016-0454-y
    DOI: 10.1007/s13198-016-0454-y
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    References listed on IDEAS

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    1. N. Balakrishnan & T. Li, 2006. "Confidence Intervals for Quantiles and Tolerance Intervals Based on Ordered Ranked Set Samples," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 58(4), pages 757-777, December.
    2. A. C. Onyeka, 2012. "Estimation of population mean in post-stratified sampling using known value of some population parameter(s)," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 13(1), pages 65-78, March.
    3. 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.
    4. Malik, Sachin & Singh, Rajesh, 2015. "Estimation of population mean using information on auxiliary attribute in two-phase sampling," Applied Mathematics and Computation, Elsevier, vol. 261(C), pages 114-118.
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