| CONVERGENCE
RATES IN THE STRONG LAWS OF NONSTATIONARY ρ-MIXING RANDOM FIELDS |
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| 引用本文： | 张立新.CONVERGENCE
RATES IN THE STRONG LAWS OF NONSTATIONARY ρ-MIXING RANDOM FIELDS[J].数学物理学报(B辑英文版),2000,20(3):303-312. |
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| 作者姓名： | 张立新 |
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| 作者单位： | Department of Mathematics,Zhejiang University,Hangzhou 510028,China |
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| 基金项目： | National Natural Science Foundation of China! (No. 19701O11),Foundation of "151 talent project" of Zhejiang provience. |
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| 摘 要： | 1 IntroductionLet d be a positive integer, Nd be the d-dimensional lattice equipped with the coordinatewise partial order, 5. For any A C N', set SA = Z.,. X., IAI =the cardinal number of A.For anyn E Nd, let (n) = {m E N',m 5 n}, S. = s(.), Inl = I(n)l = nlnZ' nd and hull' denote the Euclidean norm. Occasionally, n,k,n, etc. will also denote positive integers, thereader will not be confused from their context. A d-dimensional discrete field of real randomvariables {Xk; k E N'} wil…
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| 关 键 词： | ρ*-mixing |
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