Estimation of a parameter of Morgenstern type bivariate exponential distribution by ranked set sampling

Abstract

Ranked set sampling, Morgenstern type bivariate exponential distribution, Best linear unbiased estimator, Multistage ranked set sampling, Concomitants of order statistics,

Morgenstern type bivariate Lindley Distribution

“…[24] derived distribution of concomitant of order statistics arising from Morgenstern family. Estimation of parameters in Morgenstern type bivariate logistic, exponential and uniform distributions using ranked set sampling have been carried out by [4], [5] and [26] respectively.…”

Ordered extreme ranked set sampling and its application in parametric estimation

“…As the association parameter α in (1.1) is involved in the BLUEθ 2 of θ 2 and our assumption is α is known, one can obtain an estimate of α as given in [5].…”

“…[5] obtained the BLUE θ * 2 of the parameter θ 2 using usual RSS and the BLUEθ 2 of the parameter θ 2 using ERSS. We have evaluated the efficiency e(θ 2 |θ * 2 ) =…”

“…[3] obtained an estimator of the mean of the study variate Y , when an auxiliary variable X is used for ranking the sample units, under the assumption that (X,Y ) follows a bivariate normal distribution. [4], [6] obtained the estimators for the parameters associated with the study variate Y , when an auxiliary variable X is used for ranking the sample units, under the assumption that (X,Y ) follows a bivariate Pareto distribution and Morgenstern type bivariate logistic distribution. [5] used ERSS to estimate a parameter involved in Morgenstern Type Bivariate Exponential Distribution (MTBED).…”

On concomitants of order statistics arising from the extended Farlie–Gumbel–Morgenstern bivariate logistic distribution and its application in estimation

“…Barnett and Moore [3] improved it by deriving the BLUE of the mean of Y based on a ranked set sample. Chacko and Thomas [7] have obtained the BLUEs of the parameters involved in the distribution of Y using ranked set sample when (X, Y ) follows Farlie-Gumbel-Morgenstern bivariate logistic distribution. For some other recent works in this direction, see Chacko and Thomas [6] and Lesitha et al [19].…”