On the asymptotic behaviour of some Markov processes
Mehdi Mouline, Bùi Liêu (1970)
Studia Mathematica
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Mehdi Mouline, Bùi Liêu (1970)
Studia Mathematica
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Gusztáv Morvai, Benjamin Weiss (2007)
Annales de l'I.H.P. Probabilités et statistiques
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Cocozza-Thivent, Christiane, Kalashnikov, Vladimir (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Michael I. Taksar (1987)
Séminaire de probabilités de Strasbourg
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Masao Nagasawa (1975)
Séminaire de probabilités de Strasbourg
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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.
Tomasz Downarowicz, Paulina Grzegorek (2008)
Studia Mathematica
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We study the notion of ε-independence of a process on finitely (or countably) many states and that of ε-independence between two processes defined on the same measure preserving transformation. For that we use the language of entropy. First we demonstrate that if a process is ε-independent then its ε-independence from another process can be verified using a simplified condition. The main direction of our study is to find natural examples of ε-independence. In case of ε-independence of...
Maria Jankiewicz (1978)
Applicationes Mathematicae
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Łukasz Stettner (1993)
Applicationes Mathematicae
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Optimal control with long run average cost functional of a partially observed Markov process is considered. Under the assumption that the transition probabilities are equivalent, the existence of the solution to the Bellman equation is shown, with the use of which optimal strategies are constructed.