Poisson approximation for some point processes in reliability

DOI10.1239/AAP/1086957581zbMath1052.60038OpenAlexW2091600578MaRDI QIDQ4819491

J. B. Gravereaux, James Ledoux

Publication date: 24 September 2004

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

Full work available at URL: https://doi.org/10.1239/aap/1086957581

zbMATH Keywords

software reliabilitycompensatordoubly stochastic processMarkovian-arrival process

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Martingales with continuous parameter (60G44) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (4)

Limit theorems for stationary Markov processes with \(L^{2}\)-spectral gap ⋮ Strong convergence of a class of non-homogeneous Markov arrival processes to a Poisson process ⋮ Filtering and the EM-Algorithm for the Markovian Arrival Process ⋮ A Poisson Limit Theorem for Reliability Models Based on Markov Chains

Cites Work

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• Weak and Strong Convergence of the Distributions of Counting Processes
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• Software Reliability Model for Modular Program Structure
• Simple formulae for counting processes in reliability models
• Architecture-based approach to reliability assessment of software systems
• Markov Processes with Homogeneous Second Component, II
• Asymptotic behavior of inhomogeneous poisson flow with conductor function, dependent on a small parameter, controlled by a Markov chain

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