학술논문

CONCOMITANTS FOR CASE-I OF GENERALIZED ORDER STATISTICS AND ITS DUAL FROM LAI AND XIE EXTENSIONS.
Document Type
Article
Source
Pakistan Journal of Statistics. Jan2024, Vol. 40 Issue 1, p31-52. 22p.
Subject
*ORDER statistics
*UNCERTAINTY (Information theory)
*FISHER information
*DISTRIBUTION (Probability theory)
*ENTROPY (Information theory)
Language
ISSN
1012-9367
Abstract
In this paper, we obtain the concomitants of the extensions of Morgenstern family (Lai and Xie extensions) for generalized order statistics and dual generalized order statistics. In addition, recurrence relation between moments for the required models is obtained. Furthermore, the joint distribution between two concomitants is derived for generalized order statistics and its dual. We finally present the Shannon entropy and Fisher information with exponential distribution as an example from Lai and Xie extensions. [ABSTRACT FROM AUTHOR]