Let X1, X2,... be a strictly stationary and negatively associated sequence of random variables with mean zero and positive, finite variance, set Sn = X1+ ... + Xn, Mn = max1 < k < n |Sk|. Under appropriate moment conditions, we obtain precise rates in law of the logarithm for the moment convergence of Sn and Mn.
the rates; complete moment convergence; negatively associated sequences