@article{oai:ynu.repo.nii.ac.jp:00006650,
 author = {Yoshihara, Ken-ichi},
 issue = {2},
 journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学},
 month = {},
 note = {application/pdf, Let ＄￥{￥xi_{i}￥}＄ be a strictly stationary sequence of random variables which are distributed uniformly over the interval ＄[0,1]＄ and satisfy the strong mixing (s.m.) condition (1.1) ＄￥alpha(n)=￥sup_{-￥infty k+'￥iota}|P(A￥cap B)-P(A)P(B)|A￥in X^{k},Be-￥prime^{￥infty}￥downarrow 0＄ as ＄ n￥rightarrow￥infty＄ , where ＄￥vee J_{*}^{b}＄ is the a-algebra generated by ＄￥xi_{a},＄ ＄￥cdots,＄ ＄￥xi_{b}(￥alpha￥leqq b)＄ . Recently, Berkes and Philipp (1977) proved an almost sure invariance principle for some empirical processes by which a functional law of the iterated logarithm for the functions of s.m. sequences, a two-dimensional functional law of the iterated logarithm, etc., are easily obtained. In this note, we shall prove that Theorem 1 in Berkes and Philipp [1] remains true under the less restrictive s.m. condition.},
 pages = {105--110},
 title = {NOTE ON AN ALMOST SURE INVARIANCE PRINCIPLE FOR SOME EMPIRICAL PROCESSES},
 volume = {27},
 year = {1979}
}