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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André Arnold (1988)
Banach Center Publications
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Kunze, M., Monteiro Marques, Manuel D.P. (1997)
Journal of Convex Analysis
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B. Kopociński (1966)
Applicationes Mathematicae
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Schmidt, Werner H (2015-12-13T11:23:17Z)
Acta Universitatis Lodziensis. Folia Mathematica
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K. Urbanik (1958)
Studia Mathematica
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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...
Andrzej Makagon (1999)
Studia Mathematica
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A one-to-one correspondence between locally square integrable periodically correlated (PC) processes and a certain class of infinite-dimensional stationary processes is obtained. The correspondence complements and clarifies Gladyshev's known result [3] describing the correlation function of a continuous periodically correlated process. In contrast to Gladyshev's paper, the procedure for explicit reconstruction of one process from the other is provided. A representation of a PC process...
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....