Asymptotic behaviour of generalized Poisson integrals in rank one symmetric spaces and in trees
Peter Sjögren (1988)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Peter Sjögren (1988)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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...
Jerzy Mycielski (1956)
Studia Mathematica
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J. Ginibre, G. Velo (1980)
Annales de l'I.H.P. Physique théorique
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Paul Krée, Ryszard Rączka (1978)
Annales de l'I.H.P. Physique théorique
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Ewa Damek, Andrzej Hulanicki, Jacek Zienkiewicz (1997)
Studia Mathematica
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For rank one solvable Lie groups of the type NA estimates for the Poisson kernels and their derivatives are obtained. The results give estimates on the Poisson kernel and its derivatives in a natural parametrization of the Poisson boundary (minus one point) of a general homogeneous, simply connected manifold of negative curvature.
A. Krzywicki, T. Nadzieja (1991)
Applicationes Mathematicae
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Glassey, Robert T., Schaeffer, Jack (1989)
Portugaliae mathematica
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