On a generalization of the binomial distribution and its Poisson-like limit

Physics – Mathematical Physics

Scientific paper

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17 pages, 6 figures

Scientific paper

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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