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Estimation of Scale Parameter of Morgenstern Type Bivariate Generalized Uniform Distribution by Ranked Set Sampling
Volume 17, Issue 3 (2019), pp. 513–534
Kirtee K. Kamalja   Rohan D. Koshti  

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https://doi.org/10.6339/JDS.201907_17(3).0004
Pub. online: 4 August 2022      Type: Research Article      Open accessOpen Access

Published
4 August 2022

Abstract

The concept of ranked set sampling (RSS) is applicable whenever ranking on a set of sampling units can be done easily by a judgment method or based on an auxiliary variable. In this work, we consider a study variable 𝑌 correlated with auxiliary variable 𝑋 which is used to rank the sampling units. Further (𝑋, 𝑌) is assumed to have Morgenstern type bivariate generalized uniform distribution. We obtain an unbiased estimator of a scale parameter associated with the study variable 𝑌 based on different RSS schemes and censored RSS. Efficiency comparison study of these estimators is also performed and presented numerically.

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Keywords
Ranked set sampling concomitants of order statistics Morgenstern type bivariate generalized uniform distribution best linear unbiased estimator

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