Nonidentifiability of the Two-State Markovian Arrival Process

DOI10.1239/jap/1285335400zbMath1202.60119OpenAlexW1972101442MaRDI QIDQ4933190

Pepa Ramírez-Cobo, Michael P. Wiper, Rosa Elvira Lillo

Publication date: 12 October 2010

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

Full work available at URL: https://doi.org/10.1239/jap/1285335400

zbMATH Keywords

Markovian arrival processidentifiability problemMarkov-modulated Poisson processphase-type renewal process

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

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Nonidentifiability of the two-state BMAP ⋮ A shock and wear model with dependence between the interarrival failures ⋮ Geometric ρ-Mixing Property of the Interarrival Times of a Stationary Markovian Arrival Process ⋮ New results about weakly equivalent \(\mathrm{MAP}_2\) and \(\mathrm{MAP}_3\) processes ⋮ Corrigendum to: ``Modeling dependence in the inter-failure times. An analysis in reliability models by Markovian arrival processes ⋮ Identifiability of the \(\mathrm{MAP}_2/\mathrm{G}/1\) queueing system ⋮ Analysis of an aggregate loss model in a Markov renewal regime ⋮ Fitting procedure for the two-state batch Markov modulated Poisson process ⋮ Two shock and wear systems under repair standing a finite number of shocks ⋮ Findings about the BMMPP for modeling dependent and simultaneous data in reliability and queueing systems

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