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.
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Curado, E.M.F., Gazeau, J.P. & Rodrigues, L.M.C.S. On a Generalization of the Binomial Distribution and Its Poisson-like Limit. J Stat Phys 146, 264–280 (2012). https://doi.org/10.1007/s10955-011-0383-8
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DOI: https://doi.org/10.1007/s10955-011-0383-8