A characterization of the negative binomial distribution via \(\alpha\)-monotonicity

DOI10.1016/S0167-7152(99)00041-3zbMath0958.62013MaRDI QIDQ1805958

Theofanis Sapatinas

Publication date: 1 November 1999

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

negative binomial distributionalpha-unimodalityalpha-monotonicitypower-series families of distributions

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10)

Related Items (1)

A characterization of the bivariate negative binomial distribution via \(\alpha \)-monotonicity

Cites Work

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• Discrete analogues of self-decomposability and stability
• Characterization of discrete laws via mixed sums and Markov branching processes
• Characterizations of probability distributions based on discrete \(p\)-monotonicity
• Stability equations for processes with stationary independent increments using branching processes and Poisson mixtures
• Note on discrete a-unimodality
• A generalized unimodality

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