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

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...

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Bibliographic Details
Published in:Journal of applied statistics 2007-08, Vol.34 (6), p.703-714
Main Authors: Chacko, Manoj, Yageen Thomas, P.
Format: Article
Language:English
Subjects:
best linear unbiased estimator
bivariate Pareto distribution
Estimating techniques
Parameter estimation
Pareto optimum
Ranked set sampling
Sampling
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Summary: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.
ISSN:0266-4763
1360-0532
DOI:10.1080/02664760701236954