On structural and asymptotic properties of some classes of distributions

DOI10.1007/s10440-007-9117-yzbMath1119.60011OpenAlexW1981853843MaRDI QIDQ996757

Vladimir V. Vinogradov

Publication date: 19 July 2007

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-007-9117-y

zbMATH Keywords

Weak convergenceGalton-Watson processInfinite divisibilityBranching particle systemExponential dispersion modelGeneralized logarithmic distributionNatural exponential familyPoisson-exponential distributionSuperprocessUnit variance functionZero-modified exponential distributionZero-modified geometric distribution

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Exact distribution theory in statistics (62E15) Characteristic functions; other transforms (60E10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (3)

New properties and representations for members of the power-variance family. II ⋮ Dispersion models for geometric sums ⋮ Structural, continuity, and asymptotic properties of a branching particle system

Cites Work

• Almost-sure path properties of \((2,d,\beta)\)-superprocesses
• Exponential families of stochastic processes
• Lectures on probability theory and statistics. Ecole d'eté de Probabilités de Saint-Flour XXVII--1997, Saint-Flour, France, July 7--23, 1997
• On the Power-Variance Family of Probability Distributions
• On Infinitely Divisible Exponential Dispersion Model Related to Poisson-Exponential Distribution
• A GENERALIZATION OF THE CLASSICAL DISCRETE DISTRIBUTIONS
• Univariate Discrete Distributions
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