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On elementary characterizations of the α-modifi ed Poisson distribution

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Poisson distribution, a-modified Poisson distribution, a-modified binomial distribution, Delaporte distribution, Riordan a symbol.

A constant regression characterization of the Marchenko– Pastur law

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Lukacs characterization, free Poisson distribution, free cumulants

Data driven efficient score tests for Poissonity

DOI: http://dx.doi.org/10.19195/0208-4147.39.1.8

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Goodness-of-fit test, Poisson distribution, data driven test, model selection, Monte Carlo study

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