Discrete time shock models involving runs

DOI10.1016/J.SPL.2015.08.007zbMath1356.60138OpenAlexW1136599270MaRDI QIDQ900926

Serkan N. Eryılmaz

Publication date: 23 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.spl.2015.08.007

zbMATH Keywords

reliabilityMarkov chainshock modelsruns

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Related Items (6)

On the length and the position of the minimum sequence containing all runs of ones in a Markovian binary sequence ⋮ On mixed censored \(\delta \)-shock models ⋮ Joint distribution of \(k\)-tuple statistics in zero-one sequences of Markov-dependent trials ⋮ Distributions of random variables involved in discrete censored δ-shock models ⋮ A compound negative binomial distribution with mutative termination conditions based on a change point ⋮ Assessment of a generalized discrete time mixed \(\delta\)-shock model for the multi-state systems

Cites Work

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• On success runs of length exceeded a threshold
• On runs of length exceeding a threshold: normal approximation
• Recent advances in reliability theory. Methodology, practice, and inference
• Reliability of systems subjects to shocks with a stochastic dependence of the damages
• Shortest and longest length of success runs in binary sequences
• Fundamentals of Matrix-Analytic Methods
• Poisson approximation and dna sequence matching
• On exact and large deviation approximation for the distribution of the longest run in a sequence of two-state Markov dependent trials

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