ASYMPTOTIC BEHAVIOR OF SOME INTERACTIVE POPULATION FLOW MODELS
| Autor(en): | Stadje, Wolfgang | Stichwörter: | absorption probability; interactive Markov chain; Mathematics; Population flow; profile process; stationary distribution; Statistics & Probability | Erscheinungsdatum: | 1997 | Herausgeber: | INST MATHEMATICAL STATISTICS | Enthalten in: | ANNALS OF APPLIED PROBABILITY | Band: | 7 | Ausgabe: | 4 | Startseite: | 837 | Seitenende: | 854 | Zusammenfassung: | This paper is concerned with Markov chain models for flows of a finite population among a set of groups, where the individuals base their decisions on which group to go next partially on the current frequency distribution (profile). For a certain class of these models, the transition matrix of the profile process is analyzed algebraically, leading to surprisingly simple asymptotic results. Furthermore, in a model with after effects, the absorption probabilities are derived. |
ISSN: | 10505164 |
Zur Langanzeige
