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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Cocozza-Thivent, Christiane, Kalashnikov, Vladimir (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Masao Nagasawa (1972)
Séminaire de probabilités de Strasbourg
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Ball, Frank G., Milne, Robin K., Yeo, Geoffrey F. (2007)
Journal of Applied Mathematics and Decision Sciences
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Michael I. Taksar (1987)
Séminaire de probabilités de Strasbourg
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David Nualart Rodón, M. Sanz (1979)
Stochastica
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This paper deals with the relationship between two-dimensional parameter Gaussian random fields verifying a particular Markov property and the solutions of stochastic differential equations. In the non Gaussian case some diffusion conditions are introduced, obtaining a backward equation for the evolution of transition probability functions.
Zbyněk Šidák (1976)
Aplikace matematiky
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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.