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

Authors : Housila P SİNGH, Vishal MEHTA

Pages : 575-591

View : 20 | Download : 10

Publication Date : 2016-04-01

Article Type : Research Paper

Abstract :This article proposes a class of shrinkage estimators of Morgenstern type bivariate exponential distribution insert ignore into journalissuearticles values(MTBED); based on concomitants of order statistic in ranked set sampling insert ignore into journalissuearticles values(RSS);. The class of estimators for the parameter is motivated by the work of Jani insert ignore into journalissuearticles values(1991);. The proposed class of shrinkage estimators has smaller mean square error insert ignore into journalissuearticles values(MSE); than the Chacko and Thomas insert ignore into journalissuearticles values(2008); estimators and minimum mean squared error insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(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