On Concomitants of Ordered Ranked Set Sampling from Morgenstern Family

Journal of Mathematics and Statistics

Kotb, Mohammed S.¹ 

关键词: Concomitants;    Gumbel’    s Bivariate Exponential;    Morgenstern Family;    Ordered Ranked Set Sampling;   

DOI  :  10.3844/jmssp.2017.353.360

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

This paper develops the distribution theory of concomitants in the context of ordered ranked set sample from the Farlie-Gumbel-Morgenstern bivariate family. Here, we derive the joint distribution of concomitants of two ordered ranked set sample and obtain their single and product moments alongside the correlation coefficient. Finally, an application of the results in establishing the moments and the variance-covariance for the Gumbel’s bivariate exponential distribution.

【 授权许可】

CC BY