Some classes of shrinkage estimators in the morgenstern type bivariate exponential distribution using ranked set sampling

Year 2016, Volume: 45 Issue: 2, 575 - 591, 01.04.2016

Housila P. Singh Vishal Mehta

Abstract

This article proposes a class of shrinkage estimators of Morgenstern type bivariate exponential distribution (MTBED) based on
concomitants of order statistic in ranked set sampling (RSS). The
class of estimators for the parameter is motivated by the work of
Jani (1991). The proposed class of shrinkage estimators has smaller
mean square error (MSE) than the Chacko and Thomas (2008)
estimators and minimum mean squared error (MMSE) estimators
for wider range of the parameter. Numerical computations indicate
that certain of these estimators substantially improve the usual
and minimum mean squared error (MMSE) estimators for value of
the parameter near the prior estimate, especially for small sample sizes

Keywords

Ranked set sampling, Morgenstern type bivariate exponential distribution, Concomitants of order statistic, Minimum mean square error estimator, Shrinkage estimator

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