| 2 | Precise Rates in the Generalized Law of the Iterated Logarithm in R^m显示文摘Let {X, X_n, n ≥ 1} be a sequence of i.i.d. random vectors with EX =(0,..., 0)_(m×1) and Cov(X, X) = σ~2 Ⅰ_m, and set S_n =∑_(i=1)~n X_i, n ≥ 1. For every d > 0 and a_n =o((log log n)^(-d)), the article deals with the precise rates in the genenralized law of the iterated logarithm for a kind of weighted infinite series of P(|S_n| ≥(ε + a_n)σn^(1/2)(log log n)~d). | Mingzhou XU Yunzheng DING Yongzheng ZHOU | 2018 | Journal of Mathematical Research with Applications2018，38，1： | 2 |
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