| NA序列中心极限定理的收敛速度 |
| |
| 引用本文： | 潘建敏. NA序列中心极限定理的收敛速度[J]. 应用概率统计, 1997, 13(2): 183-192 |
| |
| 作者姓名： | 潘建敏 |
| |
| 作者单位： | 杭州大学!杭州 |
| |
| 摘 要： | 本文对NA（NegativelyAssociated）序列建立了中心极限定理的一致收敛速度，只要其三阶矩有限及描述NA序列协方差结构的一个系数u（n）被负指数序列所控制，而无需平稳性便获得了其收敛速度O（n(-1/2)logn）。
|
| 关 键 词： | NA序列 中心极限定理 一致收敛速度 |
On the Convergence Rate in the Central Limit Theorem for Negatively Associated Sequences |
| |
| PAN JIANMIN. On the Convergence Rate in the Central Limit Theorem for Negatively Associated Sequences[J]. Chinese Journal of Applied Probability and Statisties, 1997, 13(2): 183-192 |
| |
| Authors: | PAN JIANMIN |
| |
| Abstract: | We give uniform convergence rates in the central limit theorem for negatively associated sequences with finite third moment, No stationarity is required. Using a coefficient u(n) which describes the covariance structure of the sequences, we obtain a convergence rate O(n(-1/2) logn)if u(n) exponentially decrease to 0. |
| |
| Keywords: | NA sequence the central limit theorem uniform convergence rate |
| 本文献已被 CNKI 维普 等数据库收录！ |
