Moments of stochastic processes governed by Poisson random measures
Bruno Bassan, Elisabetta Bona (1990)
Commentationes Mathematicae Universitatis Carolinae
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Bruno Bassan, Elisabetta Bona (1990)
Commentationes Mathematicae Universitatis Carolinae
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Stark, Dudley (2004)
The Electronic Journal of Combinatorics [electronic only]
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Dražen Pantić, Predrag Peruničić (1991)
Publications de l'Institut Mathématique
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Francisco Jiménez Gómez, Mariano J. Valderrama Bonnet (1992)
Extracta Mathematicae
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Paul Deheuvels (1985)
Trabajos de Estadística e Investigación Operativa
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We obtain in this note evaluations of the total variation distance and of the Kolmogorov-Smirnov distance between the sum of n random variables with non identical Bernoulli distributions and a Poisson distribution. Some of our results precise bounds obtained by Le Cam, Serfling, Barbour and Hall. It is shown, among other results, that if p1 = P (X1=1), ..., pn = P (Xn=1) satisfy some appropriate...
C. Ryll-Nardzewski (1953)
Studia Mathematica
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B. Kopociński (1991)
Applicationes Mathematicae
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Gnedin, Alexander (2008)
Electronic Communications in Probability [electronic only]
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Borisov, I.S. (2003)
International Journal of Mathematics and Mathematical Sciences
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