Estimation of Scale Parameter of Morgenstern Type Bivariate Generalized Uniform Distribution by Ranked Set Sampling

Journal of Data Science

article

Kirtee K. Kamalja¹  Rohan D. Koshti¹ 

[1] Department of Statistics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University

关键词: Ranked set sampling;    concomitants of order statistics;    Morgenstern type bivariate generalized uniform distribution;    best linear unbiased estimator;   

DOI  :  10.6339/JDS.201907_17(3).0004

学科分类：土木及结构工程学

来源: JDS

【 摘 要 】

The concept of ranked set sampling (RSS) is applicable whenever ranking on a set of sampling units can be done easily by a judgment method or based on an auxiliary variable. In this work, we consider a study variable ? correlated with auxiliary variable ? which is used to rank the sampling units. Further (?, ?) is assumed to have Morgenstern type bivariate generalized uniform distribution. We obtain an unbiased estimator of a scale parameter associated with the study variable ? based on different RSS schemes and censored RSS. Efficiency comparison study of these estimators is also performed and presented numerically.

【 授权许可】

CC BY