The Annals of Probability
- Ann. Probab.
- Volume 2, Number 1 (1974), 178-180.
On the Convergence of Poisson Binomial to Poisson Distributions
Abstract
It is well known that under certain conditions, binomial distributions converge to Poisson distributions. Simons and Johnson (1971) showed that the convergence is actually much stronger than in the usual sense. In this note the author shows that the result of Simons and Johnson is also true for Poisson binomial distributions which include binomial distributions as special cases.
Article information
Source
Ann. Probab., Volume 2, Number 1 (1974), 178-180.
Dates
First available in Project Euclid: 19 April 2007
Permanent link to this document
https://projecteuclid.org/euclid.aop/1176996766
Digital Object Identifier
doi:10.1214/aop/1176996766
Mathematical Reviews number (MathSciNet)
MR370693
Zentralblatt MATH identifier
0276.60024
JSTOR
links.jstor.org
Subjects
Primary: 60F05: Central limit and other weak theorems
Secondary: 62E99: None of the above, but in this section
Keywords
Poisson distribution Poisson binomial distribution Poisson convergence
Citation
Chen, Louis H. Y. On the Convergence of Poisson Binomial to Poisson Distributions. Ann. Probab. 2 (1974), no. 1, 178--180. doi:10.1214/aop/1176996766. https://projecteuclid.org/euclid.aop/1176996766
