令{ξn,n≥1}为零均值严平稳的负相伴(NA)随机变量序列,满足Eξ1^2〈∞和0〈σ^2=Eξ1^2+2∑k=2∞Eξ1ξk〈∞.记Sn=∑k=1n ξk,Mn=∑ k=1n|Sk|,n≥1.利用NA序列中心极限定理和概率不等式,对边界函数和拟权函数得到了Chung型对数律的精确渐近性质.
Let{ξn,n≥1}be a strictly stationary and negatively associated sequence with mean zeros and Eξ12〈∞ and 0σ^2=Eξ12+2∑k=2∞Eξ1ξk〈 ∞.Let Sn = ∑ k=1nξk,Mn=∑ k=1n|Sk|,n ≥1.Using the central limit theorem and the probability inequality of negatively associated(NA)sequence,the authors obtained the precise rate in the Chung law of logarithm of NA sequence for more general boundary function and weighted function.