Strong ergodicity of monotone transition functions

DOI10.1016/S0167-7152(01)00130-4zbMath0989.60067MaRDI QIDQ5953894

Anyue Chen, Zhen Ting Hou, Hanjun Zhang, Xiang Lin

Publication date: 29 July 2002

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

Feller minimal transition functionsFeller-Reuter-Riley \(q\)-matricesFeller-Reuter-Riley transition functionsmonotone transition functionszero entrance

Mathematics Subject Classification ID

Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (10)

Criteria for Feller transition functions ⋮ Perturbation analysis for continuous-time Markov chains ⋮ Convergence rates and limit theorems for the dual Markov branching process ⋮ Strongly monotone \(q\)-functions and a note on strong ergodicity of monotone \(q\)-functions ⋮ Ergodicity of quasi-birth and death processes. I ⋮ The birth-death processes with regular boundary: stationarity and quasi-stationarity ⋮ Why is Kemeny’s constant a constant? ⋮ COMPUTABLE STRONGLY ERGODIC RATES OF CONVERGENCE FOR CONTINUOUS-TIME MARKOV CHAINS ⋮ Computable Bounds for the Decay Parameter of a Birth–Death Process ⋮ The Limit Behavior of Dual Markov Branching Processes

Cites Work

• Stochastic comparability and dual \(Q\)-functions
• Existence, uniqueness, and constructions for stochastically monotone \(Q\)-processes
• Criteria for ergodicity, exponential ergodicity and strong ergodicity of Markov processes
• The Feller Property for Markov Semigroups on a Countable State Space
• Some remarks on the duality of continuous time markov chains
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