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On the stability of characterizations of the exponential distribution

Name: On the stability of characterizations of the exponential distribution
Creator: Ryoichi Shimizu
Keywords: Characterization and structure theory of statistical distributions, 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1981Publisher:Springer Science and Business Media LLCJournal:Annals of the Institute of Statistical Mathematics, volume 33, pages 339-346 (issn: 0020-3157, eissn: 1572-9052,

Authors: Ryoichi Shimizu;

doi: 10.1007/bf02480945

On the stability of characterizations of the exponential distribution

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Abstract

It is shown that if the distribution of min {X 1/a1, X2/a2,…, XN/aN} is close to that ofX 1, then the distribution is close to the exponential distribution.

Keywords

Characterization and structure theory of statistical distributions

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