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Estimation of a Parameter of Bivariate Pareto Distribution by Ranked Set Sampling

Author

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  • Manoj Chacko
  • P. Yageen Thomas

Abstract

Ranked set sampling is applicable whenever ranking of a set of sampling units can be done easily by a judgement method or based on the measurement of an auxiliary variable on the units selected. In this work, we derive different estimators of a parameter associated with the distribution of the study variate Y, based on a ranked-set sample obtained by using an auxiliary variable X correlated with Y for ranking the sample units, when (X, Y) follows a bivariate Pareto distribution. Efficiency comparisons among these estimators are also made. Real-life data have been used to illustrate the application of the results obtained.

Suggested Citation

  • 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.
  • Handle: RePEc:taf:japsta:v:34:y:2007:i:6:p:703-714
    DOI: 10.1080/02664760701236954
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    Cited by:

    1. Wangxue Chen & Rui Yang & Dongsen Yao & Chunxian Long, 2021. "Pareto parameters estimation using moving extremes ranked set sampling," Statistical Papers, Springer, vol. 62(3), pages 1195-1211, June.
    2. 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.

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