shall be concerned with the problem of determining quasi-stationary distributions for Markovian models directly from their transition rates Q. We shall present simple conditions for a p-invariant measure m for Q to be p-invariant for the transition function, so that if m is finite, it can be normali
Approximations of quasi-stationary distributions for markov chains
โ Scribed by L.A. Breyer; A.G. Hart
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 768 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0895-7177
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โฆ Synopsis
consider a simple and widely used method for evaluating quasi-stationary distributions of continuous time Markov chains. The infinite state space is replaced by a large, but finite approximation, which is used to evaluate a candidate distribution. We give some conditions under which the method works, and describe some important pitfalls.
๐ SIMILAR VOLUMES
Statistical inference problems such as the estimation of parameters and testing composite hypothesis about stationary distributions in the set of states of Markov chains are solved. Both, the estimator and the statistic proposed are based on Rao's divergence. The asymptotic properties of the estimat