
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 nonnegative integers as statespace. 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