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Diskretnaya Matematika, 2014, Volume 26, Issue 1, Pages 75–84
DOI: https://doi.org/10.4213/dm1268 (Mi dm1268) 		 
An estimate of the approximation accuracy in B. A. Sevastyanov's limit theorem and its application in the problem of random inclusions

V. A. Kopyttseva, V. G. Mikhailovb

a Academy of Criptography of Russia
b Steklov Mathematical Institute of RAS
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DOI: https://doi.org/10.4213/dm1268
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: 01.10.2013
English version:
Discrete Mathematics and Applications, 2015, Volume 25, Issue 3, Pages 149–156
DOI: https://doi.org/10.1515/dma-2015-0015
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: V. A. Kopyttsev, V. G. Mikhailov, “An estimate of the approximation accuracy in B. A. Sevastyanov's limit theorem and its application in the problem of random inclusions”, Diskr. Mat., 26:1 (2014), 75–84; Discrete Math. Appl., 25:3 (2015), 149–156
Citation in format AMSBIB
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