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Aoudia, Djilali Ait; Marchand, Éric

On a simple construction of a bivariate probability function with a common marginal. (English) Zbl 07653652

Am. Stat. 68, No. 3, 170-173 (2014).

Cited in 2 Documents

MSC:

62-XX Statistics

Keywords:

bivariate distributions; covariance; discrete distributions; mixtures of Poisson; Poisson; probability generating function
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Full Text: DOI

References:

[1] Aoudia, D.; Marchand, E.; Perron, F.; Slimene, L., On Runs, Bivariate Poisson Mixtures and Distributions That Arise in Bernoulli Arrays, Electronic Communications in Probability, 19, 1-12 (2014) · Zbl 1318.60011
[2] Genest, C.; Nešlehová, J., A Primer on Copulas for Count Data, The Astin Bulletin, 37, 475-515 (2007) · Zbl 1274.62398
[3] Johnson, N. L.; Kemp, A. W.; Kotz, S., Univariate Discrete Distributions (3rd ed.) (2005), New York: Wiley, New York · Zbl 1092.62010
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[8] Laurent, S., Some Poisson Mixtures Distributions With a Hyperscale Parameter, Brazilian Journal of Probability and Statistics, 26, 265-278 (2012) · Zbl 1316.60023
[9] Laurent, S.; Legrand, C., A Bayesian Framework for the Ratio of Two Poisson Rates in the Context of Vaccine Efficacy Trials, ESAIM: Probability and Statistics, 16, 375-398 (2012) · Zbl 1302.62063
[10] Nelsen, R. B., Discrete Bivariate Distributions With Given Marginals and Correlation, Communications in Statistics: Simulation and Computation, 16, 199-208 (1987) · Zbl 0609.62072
[11] Panagiotelis, A.; Czado, C.; Joe, H., Pair Copula Constructions for Multivariate Discrete Data, Journal of the American Statistical Association, 107, 1063-1072 (2012) · Zbl 1395.62114
[12] Piperigou, V. E., Discrete Distributions in the Extended FGM Family: The p.g.f. Approach, Journal of Statistical Planning and Inference, 139, 3891-3899 (2009) · Zbl 1171.60319
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