Evaluation of the decay parameter for some specialized birth-death processes

DOI10.2307/3214712zbMath0764.60119OpenAlexW2005331645MaRDI QIDQ4031653

Masaaki Kijima

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.2307/3214712

zbMATH Keywords

quasi-stationary distributiontransition probabilitybirth-death processesexponential decay parameter

Mathematics Subject Classification ID

Special processes (60K99) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (14)

Upper and lower bounds on the rate of convergence for nonhomogeneous birth and death processes ⋮ Extinction Probability in A Birth-Death Process with Killing ⋮ On the rate of convergence to stationarity of the M/M/\(n\) queue in the Halfin-Whitt regime ⋮ Rate of convergence to stationarity of the system \( M / M / N / N + R \) ⋮ The decay function of nonhomogeneous birth-death processes, with application to mean-field models ⋮ Birth and Death (BDP) Process Models with Applications ⋮ On the maximal value of spectral gap for some birth and death processes ⋮ Exponential ergodicity for single-birth processes ⋮ Computable Bounds for the Decay Parameter of a Birth–Death Process ⋮ The λ-classification of continuous-time birth-and-death processes ⋮ Several Types of Ergodicity for M/G/1-Type Markov Chains and Markov Processes ⋮ Representations for the extreme zeros of orthogonal polynomials ⋮ Nonstationary Markovian queues ⋮ Computable Bounds on the Spectral Gap for Unreliable Jackson Networks

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