| 一类独立随机场的强定律的收敛率 |
| |
| 引用本文： | 蔡光辉. 一类独立随机场的强定律的收敛率[J]. 高校应用数学学报(英文版), 2003, 18(2): 209-213. DOI: 10.1007/s11766-003-0026-1 |
| |
| 作者姓名： | 蔡光辉 |
| |
| 作者单位： | Cai GuanghuiHangzhou Institute of Commerce，Hangzhou 310035，China. |
| |
| 摘 要： | § 1 IntroductionDefinition1 .[1 ] A field{ Xi,i∈Nd} is called negatively associated(NA) if for every pair ofdisjoint subsets T1 ,T2 of Nd,Cov(f1 (Xi,i∈ T1 ) ,f2 (Xj,j∈ T2 ) )≤ 0 ,whenever f1 and f2 are coordinatewise increasing.Definition2 .[1 ] A field{ Xi,i∈Nd} is calledρ* -mixing ifρ* (s) =sup{ (ρ(S,T) ;S,T N,dist(S,T)≥ s}→ 0 (s→∞ ) ,whereρ(S,T) =sup{ |E(f -Ef) (g -Eg) |/‖ f -Ef‖2 ‖ g -Eg‖2 ,f∈ L2 (σ(S) ) ,g∈ L2 (σ(T) ) } .Definition 3.[1 ] A field { Xi…
|
| 关 键 词： | Rosenthal type inequality ρ --mixing ρ *-mixing negatively associated random fields. |
| 收稿时间： | 2002-10-29 |
Convergence rates in the strong laws for a class of dependent random fields |
| |
| Cai Guanghui. Convergence rates in the strong laws for a class of dependent random fields[J]. Applied Mathematics A Journal of Chinese Universities, 2003, 18(2): 209-213. DOI: 10.1007/s11766-003-0026-1 |
| |
| Authors: | Cai Guanghui |
| |
| Affiliation: | (1) Hangzhou Institute of Commerce, 310035 Hangzhou, China |
| |
| Abstract: | By using a Rosenthal type inequality established in this paper, the complete convergence rates in the strong laws for a class of dependent random fields are discussed. And the result obtained extends those for ρ −-mixing random fields, ρ*-mixing random fields and negatively associated fields. |
| |
| Keywords: | 60F15 |
| 本文献已被 CNKI 万方数据 SpringerLink 等数据库收录！ |
|
