On coupling of renewal processes with use of failure rates

DOI10.1016/0304-4149(86)90109-2zbMath0611.60086OpenAlexW1991232485MaRDI QIDQ1087251

Torgny Lindvall

Publication date: 1986

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(86)90109-2

zbMATH Keywords

coupling methodsstationary renewal processfailure rates of the lifetime distribution

Mathematics Subject Classification ID

Functional limit theorems; invariance principles (60F17) Renewal theory (60K05)

Related Items (9)

On coupling of renewal processes with use of failure rates ⋮ Imbedded construction of stationary sequences and point processes with a random memory ⋮ Regenerative queueing processes and their qualitative and quantitative analysis ⋮ Ergodicity and inequalities in a class of point processes ⋮ Coupling with compensators ⋮ Quantitative speeds of convergence for exposure to food contaminants ⋮ Monotonicity properties of regenerative sets and Lorden's inequality ⋮ Stochastic ordering and thinning of point processes ⋮ Applications of the Dirichlet principle to finite reversible nearest particle systems

Cites Work

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• On coupling of renewal processes with use of failure rates
• Bounds, inequalities, and monotonicity properties for some specialized renewal processes
• A refinement of the coupling method in renewal theory
• A probabilistic proof of Blackwell's renewal theorem
• The coupling of regenerative processes
• A note on coupling of birth and death processes
• On Coupling of continuous-time renewal processes
• Uniform rates of convergence for Markov chain transition probabilities
• Uniform limit theorems for non-singular renewal and Markov renewal processes
• On coupling of discrete renewal processes

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