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An Inhomogeneous Markov Model to Fit the Migration Process
Author(s) -
Tziafetas George N.
Publication year - 1982
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710240415
Subject(s) - ergodicity , markov chain , continuous time markov chain , statistical physics , markov process , mathematics , constant (computer programming) , population , stationary distribution , markov model , markov renewal process , markov property , variable order markov model , markov chain mixing time , distribution (mathematics) , econometrics , statistics , computer science , mathematical analysis , physics , demography , sociology , programming language
In this paper we study the migration process considering an inhomogeneous Markov model. This is a certain condition to investigate age‐dependent population distributions, where the transition probabilities are not constant. We consider also a death process for a population alive in a region at age t and, as a result of this, combined transition probabilities between the states of the concerning Markov chain. The model has non‐stationary distribution for t →∞, because the condition of ergodicity does not hold.