Bayesian estimation based on ranked set sample from Morgenstern type bivariate exponential distribution when ranking is imperfect

Manoj Chacko ()
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Manoj Chacko: University of Kerala

Metrika: International Journal for Theoretical and Applied Statistics, 2017, vol. 80, issue 3, No 6, 333-349

Abstract: Abstract In this paper we consider Bayes estimation based on ranked set sample when ranking is imperfect, 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. Bayes estimators under squared error loss function and LINEX loss function for the mean of the study variate Y, when (X, Y) follows a Morgenstern type bivariate exponential distribution, are obtained based on both usual ranked set sample and extreme ranked set sample. Estimation procedures developed in this paper are illustrated using simulation studies and a real data.

Keywords: Ranked set sampling; Morgenstern type bivariate exponential distribution; Bayes estimate; Concomitants of order statistics (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s00184-016-0607-7

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