Characterizations of probability distributions via bivariate regression of generalized order statistics

Let Xi,n,m,k, i = 1, ...,n are n generalized order statistics (gos) based on an absolutely continuous distribution function F. Suppose that ? (x) is an absolutely continuous and monotonically increasing function in (a,b), ???a<b??, with finite ? (a+), ? (b? ) and E(? (X)).We give characterization...

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Bibliographic Details

Published in:	Journal of Statistical Theory and Applications (JSTA)
Main Authors:	M.S. Kotb, M. Ahsanullah
Format:	Article
Language:	English
Published:	Springer 2013-12-01
Subjects:	Generalized order statistics; Characterization; Regression function; Order statistics; Record values
Online Access:	https://www.atlantis-press.com/article/11322.pdf