Linear characterizations of the Poisson distribution

DOI10.1016/0167-7152(91)90196-XzbMath0724.62016OpenAlexW1996268270MaRDI QIDQ758027

D. Kharzeev

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0167-7152(91)90196-x

zbMATH Keywords

Poisson distributionlinear combinationsconstancy of regressionCramer-Wold theoremnon-negative integer random variablesSkitovich-Darmois theorems

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10)

Related Items (1)

Some properties of multivariate INAR(1) processes

Cites Work

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• Discrete analogues of self-decomposability and stability
• Integer-valued branching processes with immigration
• Discrete operator-selfdecomposabiuty and queueing networks
• Autoregressive moving-average processes with negative-binomial and geometric marginal distributions
• Some ARMA models for dependent sequences of poisson counts
• Some Theorems on Distribution Functions

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