A CHARACTERIZATION OF THE POISSON DISTRIBUTION BASED ON RANDOM SPLITTING AND RANDOM EXPANDING.
Abstract
Let X be a discrete random variable with parameter lambda = E(x)< infinity and denote B(n,r,a) = (sup n, sub r)(a to the power r)((1-a) to the power (m-r)). Let the distribution of X be compounded with B(n,r,a). If the resulting distribution is governed by the same law as X, then a characterization of the Poisson distribution is obtained. An alternative proof of the Rao-Rubin characterization is provided. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 12, 1970
- Accession Number
- AD0712758
Entities
People
- Peter C. C. Wang
Organizations
- Stanford University