Some Poisson mixtures distributions with a hyperscale parameter

Laurent, Stéphane
(2012) REBRAPE - Revista Brasileira de Probabilidade e Estatistica — Vol. 26, n° 3, p. 265-278 (2012)

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  • Laurent, Stéphane
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Abstract
We mainly investigate certain mixtures of Poisson distributions with a scale parameter in the mixing distribution. They help us to derive the bivariate Poisson mixtures arising from the prior and posterior predictive distributions in the semi-conjugate family defined by Laurent and Legrand (ESAIM Probab. Stat. (2011) DOI:10.1051/ps/2010018) for the "two Poisson samples" model, which contains in particular the reference prior when the parameter of interest is the ratio of the two Poisson rates. © Brazilian Statistical Association, 2012.

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Laurent, S. (2012). Some Poisson mixtures distributions with a hyperscale parameter. REBRAPE - Revista Brasileira de Probabilidade e Estatistica, 26(3), 265-278. https://doi.org/10.1214/11-BJPSI39 (Original work published 2012)