On a generalization of the binomial distribution and its Poisson-like limit
Mathematical Physics
2015-05-28 v1 Statistical Mechanics
math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.1105.3889,
title = {On a generalization of the binomial distribution and its Poisson-like limit},
author = {E. M. F. Curado and J. P. Gazeau and Ligia M. C. S. Rodrigues},
journal= {arXiv preprint arXiv:1105.3889},
year = {2015}
}
Comments
17 pages, 6 figures