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Zbl 0922.60068
Chen, Mufa
Single birth processes.
(English)
[J] Chin. Ann. Math., Ser. B 20, No.1, 77-82 (1999). ISSN 0252-9599; ISSN 1860-6261/e

This paper is devoted to studying the uniqueness problem for a Markov chain with stable and conservative Q-matrix such that $q_{i,i+j}=0$ for any $j \ge 2$ (single birth process). Uniqueness theorems are obtained for continuous-time process and for the discrete-time analog of the process.
[A.I.Zejfman (Vologda)]
MSC 2000:
*60J27 Markov chains with continuous parameter
60J25 Markov processes with continuous parameter

Keywords: continuous time Markov chain; discrete time Markov chain; uniqueness problem

Cited in: Zbl 1101.60055

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Scientific prize winners of the ICM 2010
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