On a generalization of the binomial distribution and its Poisson-like limit
Evaldo M. F. Curado, Jean‐Pierre Gazeau, Ligia M. C. S. Rodrigues · 2013
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. 1