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An estimate of the approximation accuracy in B. A. Sevastyanov’s limit theorem and its application in the problem of random inclusions
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Viktor A. Kopyttsev
and
Vladimir G. Mikhailov
Published/Copyright:
June 10, 2015
Abstract
An estimate of the accuracy of the Poisson approximation in B. A. Sevastyanov’s theorem providing conditions for the distribution of the sum of random indicators to converge to the Poisson distribution is obtained. This result is applied to estimate the rate of convergence to the limit Poisson distribution in a theorem on the number of solutions of systems of random inclusions.
Keywords: sums of random indicators; Poisson approximation; systems of random inclusions over a finite field
Received: 2013-10-1
Published Online: 2015-6-10
Published in Print: 2015-6-1
© 2015 by Walter de Gruyter Berlin/Boston
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Keywords for this article
sums of random indicators;
Poisson approximation;
systems of random inclusions over a finite field
Articles in the same Issue
- Frontmatter
- Stationary distribution of the player rating in the Elo model with one adversary
- On the length of functions of κ-valued logic in the class of polynomial normal forms modulo κ
- Limit theorem for multitype critical branching process evolving in random environment
- An estimate of the approximation accuracy in B. A. Sevastyanov’s limit theorem and its application in the problem of random inclusions
- Investigation of the cryptosystem MST3 based on a Suzuki 2-group
- Images of subset of finite set under iterations of random mappings
