数学物理学报(英文版) ›› 2000, Vol. 20 ›› Issue (3): 303-312.

• 论文 • 上一篇    下一篇

CONVERGENCE RATES IN THE STRONG LAWS OF NONSTATIONARY $\rho^*$-MIXING RANDOM FIELDS

 张立新   

  1. Department of Mathematics, Zhejiang University, Hangzhou 310028, China
  • 收稿日期:1997-12-12 修回日期:2000-03-05 出版日期:2000-05-20 发布日期:2000-05-20
  • 基金资助:

    Research supported by National Natural Science Foundation
    ofChina (No. 19701011) and Foundation of ”151 talent project” of Zhejiang provience

CONVERGENCE RATES IN THE STRONG LAWS OF NONSTATIONARY $\rho^*$-MIXING RANDOM FIELDS

 ZHANG Li-Xin   

  1. Department of Mathematics, Zhejiang University, Hangzhou 310028, China
  • Received:1997-12-12 Revised:2000-03-05 Online:2000-05-20 Published:2000-05-20
  • Supported by:

    Research supported by National Natural Science Foundation
    ofChina (No. 19701011) and Foundation of ”151 talent project” of Zhejiang provience

摘要:

By using a Rosenthal type inequality established in this paper,the complete
convergence and almost sure summability on the convergence rateswith respect to the
strong law of large numbers are discussedfor 
-mixing random fields.

关键词: Rosenthal type inequality, strong law of large numbers, 
-mixing, random
fields

Abstract:

By using a Rosenthal type inequality established in this paper,the complete
convergence and almost sure summability on the convergence rateswith respect to the
strong law of large numbers are discussedfor 
-mixing random fields.

Key words: Rosenthal type inequality, strong law of large numbers, 
-mixing, random
fields

中图分类号: 

  • 60F15