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Sharp constants in the Poisson approximation

✍ Scribed by Bero Roos

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
164 KB
Volume
52
Category
Article
ISSN
0167-7152

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✦ Synopsis

We present some new sharp bounds for several distances between the Poisson binomial distribution and the Poisson law with the same mean. It is shown that the constants involved cannot be reduced.

πŸ“œ SIMILAR VOLUMES

Compound poisson approximation in system
Compound poisson approximation in systems reliability
✍ A. D. Barbour; Ourania Chryssaphinou; Malgorzata Roos πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 670 KB

The compound Poisson "local" formulation of the Stein-Chen method is applied to problems in reliability theory. Bounds for the accuracy of the approximation of the reliability by an appropriate compound Poisson distribution are derived under fairly general conditions, and are applied to consecutive-