A POPULATION PROCESS WITH MARKOVIAN PROGENIES.
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 18, 1969
- Accession Number
- AD0693979
Entities
People
- Joseph M. Gani
- Peter J. Brockwell
Organizations
- Stanford University