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.
Citation
Stéphane Laurent. "Some Poisson mixtures distributions with a hyperscale parameter." Braz. J. Probab. Stat. 26 (3) 265 - 278, August 2012. https://doi.org/10.1214/11-BJPS139
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