Optimal stopping of a random length sequence of maxima over a random barrier
Z. Porosiński (1988)
Applicationes Mathematicae
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Z. Porosiński (1988)
Applicationes Mathematicae
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I. Kopocińska, B. Kopociński (1980)
Applicationes Mathematicae
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Stephen J. Kirkland (2016)
Czechoslovak Mathematical Journal
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We consider an accessibility index for the states of a discrete-time, ergodic, homogeneous Markov chain on a finite state space; this index is naturally associated with the random walk centrality introduced by Noh and Reiger (2004) for a random walk on a connected graph. We observe that the vector of accessibility indices provides a partition of Kemeny's constant for the Markov chain. We provide three characterizations of this accessibility index: one in terms of the first return time...
Ronald K. Getoor, Michael J. Sharpe (1979)
Mathematische Zeitschrift
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Keepler, M. (1978)
Portugaliae mathematica
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Tomáš Kouřim, Petr Volf (2020)
Applications of Mathematics
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The contribution focuses on Bernoulli-like random walks, where the past events significantly affect the walk's future development. The main concern of the paper is therefore the formulation of models describing the dependence of transition probabilities on the process history. Such an impact can be incorporated explicitly and transition probabilities modulated using a few parameters reflecting the current state of the walk as well as the information about the past path. The behavior...
Terence Chan, Qi Chen, Raymond Yeung (2020)
Kybernetika
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In this paper, we characterise and classify a list of full conditional independences via the structure of the induced set of vanishing atoms. Construction of Markov random subfield and minimal characterisation of polymatroids satisfying a MRF will also be given.
Koichiro Iwata (1992)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Telecs, András (2000)
Electronic Communications in Probability [electronic only]
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David J. Aldous (1983)
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.