AN ALTERNATIVE ESTIMATION OF THE SCALE PARAMETER FOR MORGENSTERN TYPE BIVARIATE LOG-LOGISTIC DISTRIBUTION USING RANKED SET SAMPLING
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 an MTBLLD. A numerical illustration is given in support of the present study.
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