Remarks on addition processes of positive floating-point numbers
M. M. Sysło (1974)
Applicationes Mathematicae
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M. M. Sysło (1974)
Applicationes Mathematicae
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Kunze, M., Monteiro Marques, Manuel D.P. (1997)
Journal of Convex Analysis
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André Arnold (1988)
Banach Center Publications
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B. Kopociński (1966)
Applicationes Mathematicae
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Jean Picard (2010)
ESAIM: Probability and Statistics
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The density of real-valued Lévy processes is studied in small time under the assumption that the process has many small jumps. We prove that the real line can be divided into three subsets on which the density is smaller and smaller: the set of points that the process can reach with a finite number of jumps (Δ-accessible points); the set of points that the process can reach with an infinite number of jumps (asymptotically Δ-accessible points); and the set of points that the process...
Lingjiong Zhu (2014)
Annales de l'I.H.P. Probabilités et statistiques
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In this paper, we prove a process-level, also known as level-3 large deviation principle for a very general class of simple point processes, i.e. nonlinear Hawkes process, with a rate function given by the process-level entropy, which has an explicit formula.
Gennady Samorodnitsky (2006)
Annales de la faculté des sciences de Toulouse Mathématiques
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This paper is a survey of both classical and new results and ideas on long memory, scaling and self-similarity, both in the light-tailed and heavy-tailed cases.
K. Urbanik (1958)
Studia Mathematica
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