关于ρ-混合序列的完全收敛性 |
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引用本文: | 邵启满.关于ρ-混合序列的完全收敛性[J].数学研究及应用,1989,9(1):152-152. |
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作者姓名: | 邵启满 |
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摘 要: | Let l (x) andβ(x) be even positive fun(?)tions. Suppose there is a censtant θ>0 such that β(x)/x~θ, x~2/β(x) and l(x) (x>0) are monotone nondecreasing Denote α(x) is the converse funotion of β(x). Theerem 1 Suppose there is a constant 0<ε_0<1 such that β(x)l(β(x))/x and x~(2-ε_0)/(β(x)l(β(x))) are monotene nondecreasing. Let {X_k} be a ρ-mixing sequence of identically distributed random varibles with EX_1=0 and Eβ(X_1)l(β(|X_1|))
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收稿时间: | 1987/3/25 0:00:00 |
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