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The density ratio of Poisson binomial versus Poisson distributions
- Publication Year :
- 2019
-
Abstract
- Let $b(x)$ be the probability that a sum of independent Bernoulli random variables with parameters $p_1, p_2, p_3, \ldots \in [0,1)$ equals $x$, where $\lambda := p_1 + p_2 + p_3 + \cdots$ is finite. We prove two inequalities for the maximal ratio $b(x)/\pi_\lambda(x)$, where $\pi_\lambda$ is the weight function of the Poisson distribution with parameter $\lambda$.
- Subjects :
- Mathematics - Statistics Theory
60E05, 60E15
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1910.03444
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.spl.2020.108862