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On the existence of quasi-stationary distributions in denumerable R-transient Markov chains

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Publication:3992283
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DOI10.2307/3214788zbMath0758.60062OpenAlexW4242000668MaRDI QIDQ3992283

Masaaki Kijima

Publication date: 13 August 1992

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3214788


zbMATH Keywords

quasi-stationary distributiongenerating matrix\(R\)-null case\(R\)-transient caseconditional transition probabilitytaboo generating function


Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Limit theorems in probability theory (60F99)


Related Items (5)

Quasi-stationary distributions for a class of discrete-time Markov chains ⋮ Asymptotic behaviour of the survival probabilities in an inhomogeneous semi-Markov model for the migration process in credit risk ⋮ Asymptotics of Markov additive chains on a half-plane: A ratio limit theorem ⋮ Quasi-stationary distributions for randomly perturbed dynamical systems ⋮ Quasi-stationary distributions for discrete-state models




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