AN ALTERNATIVE ESTIMATION OF THE SCALE PARAMETER FOR MORGENSTERN TYPE BIVARIATE LOG-LOGISTIC DISTRIBUTION USING RANKED SET SAMPLING

Housila P.  Singh; Vishal  Mehta

Housila P. Singh School of Studies in Statistics, Vikram University, Ujjain - 456010, Madhya Pradesh, India.
Vishal Mehta School of Studies in Statistics, Vikram University, Ujjain - 456010, Madhya Pradesh, India.

Keywords: Minimum Mean Squared Error Estimator, Shrinkage Estimator, Morgenstern Type Bivatiate Log-Logistic Distribution, Ranked Set Sample, Best Linear Unbiased Estimator, Extreme Ranked Set Sample

Abstract

In this paper we have suggested some improved estimators of a scale parameter of Morgenstern type bivariate log-logistic distribution (MTBLLD) envisaged by Lesitha and Thomas (2012), based on the observations made on the units of ranked set sampling regarding the study variable Y which is correlated with the auxiliary variable X , where X ,Y  follows a MTBLLD. Numerical illustration is given in support of the present study. AMS

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