Accession Number:

AD0712758

Title:

A CHARACTERIZATION OF THE POISSON DISTRIBUTION BASED ON RANDOM SPLITTING AND RANDOM EXPANDING.

Descriptive Note:

Technical rept.,

Corporate Author:

STANFORD UNIV CALIF DEPT OF STATISTICS

Personal Author(s):

Report Date:

1970-08-12

Pagination or Media Count:

21.0

Abstract:

Let X be a discrete random variable with parameter lambda Ex infinity and denote Bn,r,a sup n, sub ra to the power r1-a to the power m-r. Let the distribution of X be compounded with Bn,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

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE