Estimation of a Scale Parameter of Morgenstern Type Bivariate Uniform Distribution by Ranked Set Sampling, By Saeid Tahmasebi

Research

Title	Estimation of a Scale Parameter of Morgenstern Type Bivariate Uniform Distribution by Ranked Set Sampling
Type	Article
Keywords	Best linear unbiased estimator, concomitants of order statistics, extreme ranked set sampling, Morgenstern family, ranked set sampling, relative efficiency.
Journal	Journal of data science
DOI	10.6339/JDS.2012.10(1).1007
Researchers	Saeid Tahmasebi (First researcher) , Ali Akbar Jafari (Second researcher)

Abstract

In this paper, we obtain several estimators of a scale parameter of Morgenstern type bivariate uniform distribution (MTBUD) 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 MTBUD. Efficiency comparisons among these estimators are also made in this work. Finally, we illustrate the methods developed by using a real data set.