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) : Wang,Peter C. C.


Report Date : 12 AUG 1970


Pagination or Media Count : 21


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)


Descriptors :   (*STATISTICAL DISTRIBUTIONS, THEOREMS), EXPONENTIAL FUNCTIONS, RANDOM VARIABLES, PROBABILITY, INVARIANCE


Subject Categories : STATISTICS AND PROBABILITY


Distribution Statement : APPROVED FOR PUBLIC RELEASE