On a Generalization of the Binomial Distribution and Its Poisson-like Limit

E.M.F. Curado J.-P. Gazeau 1 L.M.C.S. Rodrigues
1 APC - THEORIE
APC - UMR 7164 - AstroParticule et Cosmologie
Abstract : We examine a generalization of the binomial distribution associated with a strictly increasing sequence of numbers and we prove its Poisson-like limit. Such generalizations might be found in quantum optics with imperfect detection. We discuss under which conditions this distribution can have a probabilistic interpretation.
Document type :
Journal articles
Journal of Statistical Physics, Springer Verlag (Germany), 2012, 146, pp.264-280. <10.1007/S10955-011-0383-8>


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Submitted on : Sunday, October 7, 2012 - 6:57:42 PM
Last modification on : Tuesday, October 28, 2014 - 6:18:47 PM

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E.M.F. Curado, J.-P. Gazeau, L.M.C.S. Rodrigues. On a Generalization of the Binomial Distribution and Its Poisson-like Limit. Journal of Statistical Physics, Springer Verlag (Germany), 2012, 146, pp.264-280. <10.1007/S10955-011-0383-8>. <hal-00739310>

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