A Review on Unbiased Estimators for a Parameter of Morgenstern Type Bivariate Gamma Distribution Using Ranked Set Sampling, By Saeid Tahmasebi

Research

Title	A Review on Unbiased Estimators for a Parameter of Morgenstern Type Bivariate Gamma Distribution Using Ranked Set Sampling
Type	Article
Keywords	Concomitants of order statistics, Morgenstern family, Ranked set sampling, Relative efficiency
Journal	AZERBAIJAN JOURNAL OF MATHEMATICS
DOI	—
Researchers	Saeid Tahmasebi (First researcher) , Ali Akbar Jafari (Second researcher)

Abstract

We obtain unbiased estimators for a parameter of Morgenstern type bivariate gamma distribution (MTBGD) based on the observations made on the units of the ranked set sampling regarding the study variable Y which is correlated with the auxiliary variable X, when (X; Y ) follows a MTBGD. Efficiency comparisons among these estimators are also made in this work. Finally, we illustrate the methods developed by using a real data set in marine biological science.