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Quasi-stationary distribution for the birth-death process with exit boundary

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Publication:907711
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DOI10.1016/j.jmaa.2015.02.030zbMath1359.60104OpenAlexW2006700309MaRDI QIDQ907711

Wu-Jun Gao, Yong Hua Mao

Publication date: 26 January 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.02.030


zbMATH Keywords

dualityspectral representationquasi-stationary distributionbirth-death process\(h\)-transformexit boundary


Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuous-time Markov processes on discrete state spaces (60J27)


Related Items (5)

An orthogonal-polynomial approach to first-hitting times of birth-death processes ⋮ Estimates on the amplitude of the first Dirichlet eigenvector in discrete frameworks ⋮ Exponential convergence to a quasi-stationary distribution for birth–death processes with an entrance boundary at infinity ⋮ The birth-death processes with regular boundary: stationarity and quasi-stationarity ⋮ On the quasi-ergodic distribution of absorbing Markov processes




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