A Semigroup Approach to Poisson Approximation
Deheuvels, P. ; Pfeifer, D.
Ann. Probab., Tome 14 (1986) no. 4, p. 663-676 / Harvested from Project Euclid
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The aim of this paper is twofold: first, to show that Poisson approximation problems for independent summands can in a natural way be treated in a suitable operator semigroup framework, allowing at the same time for an asymptotically precise evaluation of the leading term with respect to the total variation distance; second, to determine asymptotically those Poisson distributions which minimize this distance for given Bernoulli summands. Besides semigroup methods, coupling techniques as well as direct computations are used.
Publié le : 1986-04-14
Classification:  Poisson approximation,  operator semigroups,  coupling techniques,  60F05,  62E20,  47D05,  20M30 
@article{1176992536,
     author = {Deheuvels, P. and Pfeifer, D.},
     title = {A Semigroup Approach to Poisson Approximation},
     journal = {Ann. Probab.},
     volume = {14},
     number = {4},
     year = {1986},
     pages = { 663-676},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176992536}
}

Deheuvels, P.; Pfeifer, D. A Semigroup Approach to Poisson Approximation. Ann. Probab., Tome 14 (1986) no. 4, pp.  663-676. http://gdmltest.u-ga.fr/item/1176992536/