A Characterization of the Negative Binomial Distribution

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2000 Bulgaria Publisher:Bulgarian Academy of Sciences - BAS (Bălgarska Akademiya na Naukite - BAN), Sofia

Authors: Kolev, Nikolay; Minkova, Leda;

handle: 10525/2167

A Characterization of the Negative Binomial Distribution

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Abstract

A characterization of the negative binomial distribution related to random sums is obtained which is motivated by the geometric distribution characterization given by \textit{Z. Khalil, B. Dimitrov} and \textit{J.P. Dion} [Commun. Stat., Stochastic Models 7, No. 2, 321-326 (1991; Zbl 0736.62006)]. An interpretation in terms of an unreliable system is given.

Country

Bulgaria

Related Organizations

Institute of Mathematics and Informatics
Bulgaria
Bulgarian Academy of Sciences
Bulgaria

Keywords

Binomial Distribution, Reliability and life testing, Characterization and structure theory of statistical distributions, unreliable systems, negative binomial distribution

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