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Compound Poisson approximation in total variation

โœ Scribed by A.D. Barbour; Sergey Utev

Book ID
108433028
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
270 KB
Volume
82
Category
Article
ISSN
0304-4149

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๐Ÿ“œ SIMILAR VOLUMES

Compound poisson approximation in system
Compound poisson approximation in systems reliability
โœ A. D. Barbour; Ourania Chryssaphinou; Malgorzata Roos ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 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-

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โœ Aleskeviciene, A. K.; Statulevicius, V. A. ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Society for Industrial and Applied Mathematics ๐ŸŒ English โš– 140 KB
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โœ S.Y. Novak ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 148 KB

We present multivariate generalizations of some classical results on the accuracy of Poisson approximation for the distribution of a sum of 0 -1 random variables. A multivariate generalization of Bradley's theorem (Michigan Math. J. 30 (1983) 69) is established as well.