On the stability estimation of Wang's characterization theorem

An important and useful characterization of the Weibull distribution is its lack of memory (of order a) property, i.e., P (X ≥ a√(xa + ya)|X ≥ y ) = P(X ≥ x) for all x, y ≥ 0. The technique commonly employed in proving this characterization is the well-known Cauchy functional equ­ation φ(a√(xa + ya...

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Bibliographic Details
Main Author: Romanas Januškevičius
Format: Article
Language:English
Published: Vilnius University Press 2002-12-01
Series:Lietuvos Matematikos Rinkinys
Online Access:https://www.zurnalai.vu.lt/LMR/article/view/33059