Abstract
A model for predicting expected-value population distributions is developed, assuming that all movements are Markovian and time-homogeneous. Each individual is classified by the amount of time he has spent in the population and by which of a number of classes, of an unspecified nature, he inhabits. The limiting properties of the population distribution are derived, and, in particular, conditions for convergence to a stable distribution are given. Some discussion of the relevance of the theory to practical applications to given, primarily to manpower planning when recruitment occurs purely to maintain a specified overall population size.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 19-30 |
| Number of pages | 12 |
| Journal | Journal of Applied Probability |
| Volume | 20 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1 1983 |
ASJC Scopus subject areas
- Statistics and Probability
- General Mathematics
- Statistics, Probability and Uncertainty