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

Manoj Chacko and P. Yageen Thomas

Journal of Applied Statistics, 2007, vol. 34, issue 6, pages 703-714

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.

Keywords: Ranked set sampling; bivariate Pareto distribution; best linear unbiased estimator (search for similar items in EconPapers)

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