Stationary Markov sets
Michael I. Taksar (1987)
Séminaire de probabilités de Strasbourg
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Displaying similar documents to “Long-range dependence in a Cox process directed by a Markov renewal process.”
Stationary Markov sets
The failure rate in reliability: Approximations and bounds.
Cocozza-Thivent, Christiane, Kalashnikov, Vladimir (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Dynamic analysis of a unified multivariate counting process and its asymptotic behavior.
Sumita, Ushio, Huang, Jia-Ping (2009)
International Journal of Mathematics and Mathematical Sciences
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Semi-Markov processes for reliability studies
Christiane Cocozza-Thivent, Michel Roussignol (1997)
ESAIM: Probability and Statistics
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Multiplicative excessive measures and duality between equations of Boltzmann and of branching processes
Masao Nagasawa (1975)
Séminaire de probabilités de Strasbourg
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Construction of a class of stationary processes with applications in reliability
K. Arndt, P. Franken (1979)
Applicationes Mathematicae
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On applications of Little's formula.
Dshalalow, Jewgeni H. (1993)
Journal of Applied Mathematics and Stochastic Analysis
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Marked continuous-time Markov chain modelling of burst behaviour for single ion channels.
Ball, Frank G., Milne, Robin K., Yeo, Geoffrey F. (2007)
Journal of Applied Mathematics and Decision Sciences
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Loop-free Markov chains as determinantal point processes
Alexei Borodin (2008)
Annales de l'I.H.P. Probabilités et statistiques
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We show that any loop-free Markov chain on a discrete space can be viewed as a determinantal point process. As an application, we prove central limit theorems for the number of particles in a window for renewal processes and Markov renewal processes with Bernoulli noise.