Accession Number : AD0711674

Title :   THE ESTIMATION OF THE PROBABILITY OF EXTINCTION AND OTHER PARAMETERS ASSOCIATED WITH BRANCHING PROCESSES.

Descriptive Note : Technical rept.,

Corporate Author : WISCONSIN UNIV MADISON DEPT OF STATISTICS

Personal Author(s) : Stigler,Stephen M.

Report Date : JUL 1970

Pagination or Media Count : 19

Abstract : Let X sub 1, X sub 2, ..., X sub n be independent, identically distributed random variables taking only nonnegative integer values. Let P sub k = Pr(X sub i = k), and denote by f(s) = Summation from k = 0 to k = infinity of ((p sub k)(s sup k)) the probability generating function of the distribution (p sub k). In this paper the author considers the problem of estimating various functionals of f(s) which occur in the study of branching processes, and are of interest in various inference problems concerning these processes. (Author)

Descriptors :   (*STOCHASTIC PROCESSES, DECISION THEORY), STATISTICAL PROCESSES, RELIABILITY, LIFE EXPECTANCY, DISTRIBUTION THEORY, SAMPLING, THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE