On Infinitely Divisible Exponential Dispersion Model Related to Poisson-Exponential Distribution

DOI10.1080/03610920600974534zbMath1114.60016OpenAlexW2084933245MaRDI QIDQ3435978

Vladimir V. Vinogradov

Publication date: 8 May 2007

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920600974534

zbMATH Keywords

weak convergencebranching processconfluent hypergeometric functionLévy measureBessel functionPoisson mixturecompound Poisson distributionlocal approximationPólya-Aeppli distributionunit variance functionpower-variance familyTweedie exponential dispersion modelsRao damage process

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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