### 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) |
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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 |

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### ASJC Scopus subject areas

- Statistics and Probability
- Mathematics(all)
- Statistics, Probability and Uncertainty