Abstract
We analyse the conditions under which the aggregated process constructed from an homogeneous Markov chain over a given partition of the state space is also Markov homogeneous. The past work on the subject is revised and new properties are obtained.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Background and Concepts;Understanding Complex Systems;2015-12-20
2. On the lumpability of regional income convergence;Letters in Spatial and Resource Sciences;2015-09-21
3. On the time a Markov chain spends in a lumped state;Journal of Applied Probability;1997-06
4. Exact and ordinary lumpability in finite Markov chains;Journal of Applied Probability;1994-03
5. Sojourn times in finite Markov processes;Journal of Applied Probability;1989-12