Coupling Method for Backward Renewal Process and Lorden’s Inequality

DOI10.1007/978-3-319-66836-9_31zbMath1459.60185OpenAlexW2753381106MaRDI QIDQ3305457

Galina Zverkina

Publication date: 7 August 2020

Published in: Communications in Computer and Information Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-66836-9_31

zbMATH Keywords

convergence raterenewal processtotal variation metricLorden's inequalitybackward renewal processstrong bounds

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Related Items (1)

On exponential convergence of dynamic queueing network and its applications

Cites Work

• On the rate of convergence to the stationary distribution in the single-server queuing systems
• On the rate of convergence for infinite server Erlang-Sevastyanov's problem
• Ergodic Markov processes and Poisson equations (lecture notes)
• A maximal coupling for Markov chains
• Certain Properties of Piecewise-Linear Markov Processes
• On Excess Over the Boundary
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