On a generalization of the binomial distribution and its Poisson-like limit
classification
🧮 math-ph
cond-mat.stat-mechmath.MPquant-ph
keywords
distributionbinomialgeneralizationlimitpoisson-likeassociatedconditionsdetection
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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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