Accession Number : AD0693979

Title :   A POPULATION PROCESS WITH MARKOVIAN PROGENIES.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DEPT OF STATISTICS

Personal Author(s) : Brockwell,Peter J. ; Gani,Joseph M.

Report Date : 18 AUG 1969

Pagination or Media Count : 20

Abstract : A population is considered in which the number of individuals X sub t, t = 0, 1, 2, ..., added to the population in the time interval (t, t+1) is a Markov chain with the non-negative integers as state-space. At the end of each interval one individual is removed from the population, the process coming to a stop when the population size is zero. A method is developed for finding the probability distribution of the time to extinction of such a process for given initial conditions. The model was suggested by a problem in storage theory.

Descriptors :   (*STOCHASTIC PROCESSES, TIME SERIES ANALYSIS), POPULATION(MATHEMATICS), PROBABILITY DENSITY FUNCTIONS, BOUNDARY VALUE PROBLEMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE