Accession Number : AD0681408

Title :   ON THE EQUIVALENCE OF CONDITIONS ON A BRANCHING PROCESS IN CONTINUOUS TIME AND ON ITS OFFSPRING DISTRIBUTION.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Athreya,Krishna B.

Report Date : SEP 1968

Pagination or Media Count : 23

Abstract : The paper shows under very general conditions on a convex functions phi E phi(x(t)) < infinity if and only if Summation over j of (phi(j)p sub j) < infinity where X(t) is a continuous time branching (Markov or age dependent) process with offspring generating function h(z) = Summation from j=0 to j = infinity of ((p sub j) (z superscript j)). (Author)

Descriptors :   (*STATISTICAL PROCESSES, DISTRIBUTION THEORY), (*STOCHASTIC PROCESSES, DISTRIBUTION THEORY), GROUPS(MATHEMATICS), MEASURE THEORY, FUNCTIONS(MATHEMATICS), THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE