Geodesic
An estimate of the approximation accuracy in B.~A.~Sevastyanov's limit theorem and its application in the problem of random inclusions
Diskretnaya Matematika, Tome 26 (2014) no. 1, pp. 75-84

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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. 
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     author = {V. A. Kopyttsev and V. G. Mikhailov},
     title = {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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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. Diskretnaya Matematika, Tome 26 (2014) no. 1, pp. 75-84. http://geodesic.mathdoc.fr/item/DM_2014_26_1_a5/