Stationarity of a stochastic population flow model
Autor(en): | Stadje, W | Stichwörter: | Mathematics; special processes; Statistics & Probability | Erscheinungsdatum: | 1999 | Herausgeber: | APPLIED PROBABILITY TRUST | Enthalten in: | JOURNAL OF APPLIED PROBABILITY | Band: | 36 | Ausgabe: | 1 | Startseite: | 291 | Seitenende: | 294 | Zusammenfassung: | We consider a classical population flow model in which individuals pass through n strata with certain state-dependent probabilities and at every time t = 0, 1,2,..., there is a stochastic inflow of new individuals to every stratum. For a stationary inflow process we prove the convergence of the joint distribution of group sizes and derive the limiting Laplace transform. |
ISSN: | 00219002 | DOI: | 10.1017/S002190020001706X |
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