The real powers of the convolution of a negative binomial distribution and a Bernoulli distribution

DOI10.1090/S0002-9939-02-05352-2zbMath0989.60017OpenAlexW1840156901MaRDI QIDQ2782643

Stefan Maurer, Gérard Letac, Dhafer Malouche

Publication date: 8 April 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-05352-2

zbMATH Keywords

exponential familyMeixner polynomialsJorgensen set

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10)

Related Items (11)

Domains of attraction to Tweedie distributions ⋮ Generalized convolution product of an infinitely divisible distribution and a Bernoulli distribution ⋮ Associated Natural Exponential Families and Elliptic Functions ⋮ Comment: Lancaster probabilities and Gibbs sampling ⋮ Characterizations using weighted distributions ⋮ Convolutions of the \(t\) distribution ⋮ The real powers of the convolution of a gamma distribution and a Bernoulli distribution ⋮ Convolutions of \(K/(1 + x^n)\) ⋮ On \(d\)-orthogonality of the Sheffer systems associated to a convolution semigroup ⋮ Convolutions of the halftdistribution ⋮ Convolutions of the Pearson type VII distribution

Cites Work

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• Natural real exponential families with cubic variance functions
• Natural exponential families with quadratic variance functions
• Exponential families with variance functions in \(\sqrt {\Delta}P(\sqrt {\Delta})\): Seshadri's class
• On the real natural exponential families of grand-Babel
• A Generalisation of Stirling's Formula.

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