caa a22 4500 378896822 CHVBK 20180305123508.0 cr unu---uuuuu 161128e20040701xx s 000 0 eng 10.1515/1569392031905593 doi (NATIONALLICENCE)gruyter-10.1515/1569392031905593 Karymov D. N. On the accuracy of approximation in the Poisson limit theorem [Elektronische Daten] [D. N. Karymov] In this paper, we find non-uniform bounds in the Poisson theorem. Let I 1, ..., In be indicators of independent random events. We set pk = P{Ik = 1} = 1 − P{Ik = 0}, 0 ≤ pk ≤ 1, k = 1, ..., n. Let Let bk be the jump of the distribution function B(x) at the point k. We also set Let be the jumps of the Poisson distribution function with parameter λ ≥ 0, and let be the corresponding distribution function. An example of the results obtained in the paper is formulated as follows. For λ = nP 1 and k ≥ 2 + λ, and for k > 1 + λe Copyright 2004, Walter de Gruyter Discrete Mathematics and Applications Walter de Gruyter 14/3(2004-07-01), 317-327 0924-9265 14:3<317 2004 14 dma https://doi.org/10.1515/1569392031905593 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/1569392031905593 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Karymov D. N. NATIONALLICENCE 773 0- Discrete Mathematics and Applications Walter de Gruyter 14/3(2004-07-01), 317-327 0924-9265 14:3<317 2004 14 dma CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter