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Stability of characterization of Weibull distribution
Authors:Yanushkevichius Romanas  Yanushkevichiene Olga
Affiliation:(1) Vilnius Pedagogical University, Studentu 39, LT-2004 Vilnius;(2) Institute of Mathematics and Informatics, Akademijos 4, LT-2021 Vilnius
Abstract:If assumptions of the theorem are satisfied not exactly but only approximately, then may we state that the conclusion of the theorem is also fulfilled approximately? Theorems, in which the problems of this kind are considered, are called stability theorems. The present paper presents some comments on characterization of the Weibull distribution by the lack of memory property and stability estimation in this characterization.
Keywords:Weibull distribution  stability theorems  stability of characterization  convolution equations  lack of memory property (memoryless property)
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