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Bayesian estimation based on ranked set sample from Morgenstern type bivariate exponential distribution when ranking is imperfect

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  • Manoj Chacko

    (University of Kerala)

Abstract

In this paper we consider Bayes estimation based on ranked set sample when ranking is imperfect, in which units are ranked based on measurements made on an easily and exactly measurable auxiliary variable X which is correlated with the study variable Y. Bayes estimators under squared error loss function and LINEX loss function for the mean of the study variate Y, when (X, Y) follows a Morgenstern type bivariate exponential distribution, are obtained based on both usual ranked set sample and extreme ranked set sample. Estimation procedures developed in this paper are illustrated using simulation studies and a real data.

Suggested Citation

  • Manoj Chacko, 2017. "Bayesian estimation based on ranked set sample from Morgenstern type bivariate exponential distribution when ranking is imperfect," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 80(3), pages 333-349, April.
    • Handle: RePEc:spr:metrik:v:80:y:2017:i:3:d:10.1007_s00184-016-0607-7
    DOI: 10.1007/s00184-016-0607-7
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    References listed on IDEAS

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    1. Manoj Chacko & P. Thomas, 2008. "Estimation of a parameter of Morgenstern type bivariate exponential distribution by ranked set sampling," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 60(2), pages 301-318, June.
    2. Manoj Chacko & P. Yageen Thomas, 2007. "Estimation of a Parameter of Bivariate Pareto Distribution by Ranked Set Sampling," Journal of Applied Statistics, Taylor & Francis Journals, vol. 34(6), pages 703-714.
    3. Z. Abo-Eleneen & H. Nagaraja, 2002. "Fisher Information in an Order Statistic and its Concomitant," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 54(3), pages 667-680, September.
    4. Kin Lam & Bimal Sinha & Zhong Wu, 1994. "Estimation of parameters in a two-parameter exponential distribution using ranked set sample," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 46(4), pages 723-736, December.
    5. Vic Barnett & Karen Moore, 1997. "Best linear unbiased estimates in ranked-set sampling with particular reference to imperfect ordering," Journal of Applied Statistics, Taylor & Francis Journals, vol. 24(6), pages 697-710.
    6. Muhammad Mohsin & Hannes Kazianka & Jürgen Pilz & Albrecht Gebhardt, 2014. "A new bivariate exponential distribution for modeling moderately negative dependence," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 23(1), pages 123-148, March.
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