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Abstract
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In this paper we consider Bayesian estimation based on bivariate ranked
set sample, 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 . We obtain Bayes estimator for the scale parameter
of the study variate Y , when (X, Y ) follows a Morgenstern type bivariate
Rayleigh distribution. The Bayes estimators are considered based on bivariate
ranked set sampling, extreme ranked set sampling and maximum ranked
set sampling with unequal sample. The accuracy of estimation methods in
this paper is illustrated using simulation study. Finally, a real data set is
analyzed.
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