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Improved Estimation of the Scale Parameter for Log-Logistic Distribution Using Balanced Ranked Set Sampling

Author

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  • Singh Housila P.

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

  • Mehta Vishal

    (Indian Statistical Institute (ISI), North-East Centre, Tezpur, 784028, Assam, India)

Abstract

In this article we have suggested some improved estimators of a scale parameter of log-logistic distribution (LLD) under a situation where the units in a sample can be ordered by judgement method without any error. We have also suggested some linear shrinkage estimator of a scale parameter of LLD. Efficiency comparisons are also made in this work.

Suggested Citation

  • Singh Housila P. & Mehta Vishal, 2017. "Improved Estimation of the Scale Parameter for Log-Logistic Distribution Using Balanced Ranked Set Sampling," Statistics in Transition New Series, Polish Statistical Association, vol. 18(1), pages 53-74, March.
  • Handle: RePEc:vrs:stintr:v:18:y:2017:i:1:p:53-74:n:2
    DOI: 10.21307/stattrans-2016-057
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    References listed on IDEAS

    as
    1. Housila P. Singh & Vishal Mehta, 2013. "An improved estimation of parameters of Morgenstern type bivariate logistic distribution using ranked set sampling," Statistica, Department of Statistics, University of Bologna, vol. 73(4), pages 437-461.
    2. Ramkrishna S. Solanki & Housila P. Singh, 2016. "An improved estimation in stratified random sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(7), pages 2056-2070, April.
    3. Steve Bennett, 1983. "Log‐Logistic Regression Models for Survival Data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 32(2), pages 165-171, June.
    Full references (including those not matched with items on IDEAS)

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