### 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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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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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.

S.K. Zaremba, Z.A. Lomnicki (1956/57)

Mathematische Zeitschrift

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