Displaying similar documents to “Remarks on the Poisson stochastic process (III) (On a property of the homogeneous Poisson process)”

A note on Poisson approximation.

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...