Accuracy of approximation in the Poisson theorem in terms of the χ2-distance

I. S. Borisov; I. S. Vorozheikin

首页> 外文期刊>Siberian Mathematical Journal >Accuracy of approximation in the Poisson theorem in terms of the χ2-distance

【24h】

Accuracy of approximation in the Poisson theorem in terms of the χ2-distance

机译：Poisson定理中关于χ2距离的近似精度

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

We study the limit behavior of the χ2-distance between the distributions of the nth partial sum of independent not necessarily identically distributed Bernoulli random variables and the accompanying Poisson law. As a consequence in the i.i.d. case we make the multiplicative constant preciser in the available upper bound for the rate of convergence in the Poisson limit theorem.

机译：我们研究了伯努利随机变量不一定相同分布的第n个部分和的分布与伴随的泊松定律之间的χ2-距离的极限行为。结果是在i.d.在这种情况下，我们在泊松极限定理的收敛速率的可用上限中使乘法常数更精确。

著录项

来源
《Siberian Mathematical Journal》 |2008年第1期|共13页
作者
I. S. Borisov; I. S. Vorozheikin;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
generalized binomial distribution; binomial distribution; Poisson distribution; Poisson theorem; Kulback-Leibler distance; total variation distance; χ2-distance;

机译：广义二项分布;二项分布;泊松分布;泊松定理;Kullback-Leibler距离;总变化距离;χ2距离;

相似文献

外文文献
中文文献
专利

1. Accuracy of approximation in the Poisson theorem in terms of the χ2-distance [J] . I. S. Borisov, I. S. Vorozheikin Siberian Mathematical Journal . 2008,第1期

机译：Poisson定理中关于χ2距离的近似精度
2. POISSON APPROXIMATION IN A POISSON LIMIT THEOREM INSPIRED BY COUPON COLLECTING [J] . ANNA PóSFAI Journal of Applied Probability . 2009,第2期

机译：票证收集激发的Poisson极限定理中的Poisson逼近
3. Direct and Inverse Theorems on the Approximation of 2 pi-Periodic Functions by Taylor-Abel-Poisson Operators [J] . Prestin J., Savchuk V. V., Shidlich A. L. Ukrainian mathematical journal . 2017,第5期

机译：Taylor-abel-Poisson运营商的直接和逆定理对2个PI周期性函数的近似
4. Accuracy of statistical image estimates under approximations to Poisson log-likelihood functions [C] . Thibault, J.-B., Sauer, . 1999

机译：近似于Poisson对数似然函数的统计图像估计值的准确性
5. Limit theorems and approximations with applications to insurance risk and queueing theory. [D] . Blanchet, Jose H. 2004

机译：限制定理和近似值在保险风险和排队论中的应用。
6. Two-dimensional translation-invariant probability distributions: approximations characterizations and no-go theorems [O] . Zizhu Wang, Miguel Navascués -1

机译：二维平移不变概率分布：逼近特征化和无定理
7. On a relationship between Uspensky's theorem and poisson approximations [O] . P. Deheuvels, D. Pfeifer 1988

机译：关于乌斯别斯基定理和泊松近似之间的关系
8. A General Poisson Approximation Theorem. [R] . Serfling, R. J. 1974

机译：一般poisson逼近定理。

Accuracy of approximation in the Poisson theorem in terms of the χ2-distance

摘要

著录项

相似文献

相关主题

期刊订阅