Integral-type functionals of first hitting times for continuous-time Markov chains

DOI10.1007/s11464-018-0700-5zbMath1401.60144OpenAlexW2799635534WikidataQ129849275 ScholiaQ129849275MaRDI QIDQ1787121

G. Richomme

Publication date: 4 October 2018

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-018-0700-5

zbMATH Keywords

birth-death processcentral limit theorem (CLT)integral-type functionalcontinuous-time Markov chain (CTMC)subexponential ergodicity

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Continuous-time Markov processes on discrete state spaces (60J27) Local time and additive functionals (60J55)

Related Items (2)

Moments of integral-type downward functionals for single death processes ⋮ Unnamed Item

Cites Work

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• Subgeometric ergodicity of strong Markov processes
• Subgeometric ergodicity for continuous-time Markov chains
• Subgeometric rates of convergence of \(f\)-ergodic strong Markov processes
• Continuous-time Markov chains. An applications-oriented approach
• Algebraic convergence of Markov chains
• A note on integrals for birth-death processes
• Necessary conditions in limit theorems for cumulative processes.
• Ergodic degrees for continuous-time Markov chains
• Deviation matrix and asymptotic variance for \(\mathrm{GI}/\mathrm{M}/1\)-type Markov chains
• Central limit theorems for ergodic continuous-time Markov chains with applications to single birth processes
• Poisson's equation for discrete-time single-birth processes
• The variance constant for the actual waiting time of the PH/PH/1 queue
• Additive Functionals for Discrete-Time Markov Chains with Applications to Birth-Death Processes
• Subgeometric rates of convergence for a class of continuous-time Markov process
• Markov Chains and Stochastic Stability
• Asymptotic Formulas for Markov Processes with Applications to Simulation
• The variance constant for continuous-time level dependent quasi-birth-and-death processes
• Path integrals for continuous-time Markov chains

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