On the accuracy of approximation in the Poisson limit theorem
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 378896822 | ||
| 003 | CHVBK | ||
| 005 | 20180305123508.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 161128e20040701xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1515/1569392031905593 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/1569392031905593 | ||
| 100 | 1 | |a Karymov |D D. N. | |
| 245 | 1 | 0 | |a On the accuracy of approximation in the Poisson limit theorem |h [Elektronische Daten] |c [D. N. Karymov] |
| 520 | 3 | |a 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 | |
| 540 | |a Copyright 2004, Walter de Gruyter | ||
| 773 | 0 | |t Discrete Mathematics and Applications |d Walter de Gruyter |g 14/3(2004-07-01), 317-327 |x 0924-9265 |q 14:3<317 |1 2004 |2 14 |o dma | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/1569392031905593 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/1569392031905593 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Karymov |D D. N. | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Discrete Mathematics and Applications |d Walter de Gruyter |g 14/3(2004-07-01), 317-327 |x 0924-9265 |q 14:3<317 |1 2004 |2 14 |o dma | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||