Open Access
2014 On runs, bivariate Poisson mixtures and distributions that arise in Bernoulli arrays
Éric Marchand, Djilali Ait Aoudia, François Perron, Latifa Ben Hadj Slimene
Author Affiliations +
Electron. Commun. Probab. 19: 1-12 (2014). DOI: 10.1214/ECP.v19-3152

Abstract

Distributional findings are obtained relative to various quantities arising in Bernoulli arrays $\{ X_{k,j}, k \geq 1, j =1, \ldots, r+1\}$, where the rows $(X_{k,1}, \ldots, X_{k,r+1})$ are independently distributed as $\hbox{Multinomial}\,.$

Citation

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Éric Marchand. Djilali Ait Aoudia. François Perron. Latifa Ben Hadj Slimene. "On runs, bivariate Poisson mixtures and distributions that arise in Bernoulli arrays." Electron. Commun. Probab. 19 1 - 12, 2014. https://doi.org/10.1214/ECP.v19-3152

Information

Accepted: 15 February 2014; Published: 2014
First available in Project Euclid: 7 June 2016

zbMATH: 1318.60011
MathSciNet: MR3167881
Digital Object Identifier: 10.1214/ECP.v19-3152

Subjects:
Primary: 60C05
Secondary: 60E05 , 62E15

Keywords: Arrays , Bernoulli , binomial moments , Dirichlet , Multinomial , Poisson distribution , Poisson mixtures , Runs

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