On system reliability under random load of elements
I. Kopocińska, B. Kopociński (1980)
Applicationes Mathematicae
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I. Kopocińska, B. Kopociński (1980)
Applicationes Mathematicae
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Keepler, M. (1998)
Portugaliae Mathematica
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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.
Z. Porosiński (1988)
Applicationes Mathematicae
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Koichiro Iwata (1992)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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...
Kateřina Helisová, Jakub Staněk (2016)
Applications of Mathematics
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The paper concerns an extension of random disc Quermass-interaction process, i.e. the model of discs with mutual interactions, to the process of interacting objects of more general shapes. Based on the results for the random disc process and the process with polygonal grains, theoretical results for the generalized process are derived. Further, a simulation method, its advantages and the corresponding complications are described, and some examples are introduced. Finally, a short comparison...
R. Dohler (1985)
Banach Center Publications
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Yuri Kifer (1996)
Mathematische Zeitschrift
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Robert Atalla, Robert Sine (1976)
Mathematische Annalen
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P.J. Fitzsimmons (1986)
Mathematische Zeitschrift
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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.