Ordered extreme ranked set sampling and its application in parametric estimation

Abstract

Ranked set sampling (RSS) is applicable whenever ranking of a set of sampling units can be done easily by a judgment method or based on the measurement of an auxiliary variable which can be measured easily. In this work, a modification of RSS called ordered extreme ranked set sampling is considered for Morgenstern family of distributions, in which an auxiliary variable X correlated with the study variate Y is used to rank the sample units. This modification of RSS is applied to obtain an estimator of the parameter associated with the study variate Y, when (X,Y) follows a Morgenstern type bivariate exponential distribution.

Keywords

• Ranked set sampling
• Concomitants of order statistics
• Morgenstern family of distributions
• Best linear unbiased estimator.