Some Results On Subexponential Distributions
Emily S. Murphree (1990)
Publications de l'Institut Mathématique
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Emily S. Murphree (1990)
Publications de l'Institut Mathématique
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Bel, L., Oppenheim, G., Robbiano, L., Viano, M.C. (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Joseph Glover (1982)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Michael Drmota (2001)
Acta Arithmetica
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Ken R. Duffy, Claudio Macci, Giovanni Luca Torrisi (2011)
ESAIM: Probability and Statistics
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We prove that the large deviation principle holds for a class of processes inspired by semi-Markov additive processes. For the processes we consider, the sojourn times in the phase process need not be independent and identically distributed. Moreover the state selection process need not be independent of the sojourn times. We assume that the phase process takes values in a finite set and that the order in which elements in the set, called states, are visited is selected stochastically....
Ken R. Duffy, Claudio Macci, Giovanni Luca Torrisi (2012)
ESAIM: Probability and Statistics
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We prove that the large deviation principle holds for a class of processes inspired by semi-Markov additive processes. For the processes we consider, the sojourn times in the phase process need not be independent and identically distributed. Moreover the state selection process need not be independent of the sojourn times. We assume that the phase process takes values in a finite set and that the order in which elements in the set, called states, are visited is selected stochastically....
Slobodanka Janjić (1986)
Publications de l'Institut Mathématique
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H. Daboussi (1981)
Compositio Mathematica
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Leszek Knopik (2006)
Control and Cybernetics
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M. F. Neuts (1988)
Applicationes Mathematicae
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Ricardo Estrada (2010)
Banach Center Publications
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It is well-known that any locally Lebesgue integrable function generates a unique distribution, a so-called regular distribution. It is also well-known that many non-integrable functions can be regularized to give distributions, but in general not in a unique fashion. What is not so well-known is that to many distributions one can associate an ordinary function, the function that assigns the distributional point value of the distribution at each point where the value exists, and that...