Functional sample path properties of subsequence's C-R increments for a Wiener process in Hlder norm

作     者：WEI Qi-cai 

作者机构：School of Mathematics & Computer Science Wuhan Polytechnic University 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2015年第30卷第2期

页      面：217-226页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the Natural Science Foundation of Hubei Province of China(2011CDB229) 

主　　题：Wiener process subsequence's C-R increments HSlder norm. 

摘      要：In this paper, with the aid of large deviation formulas established in strong topology of functional space generated by HSlder norm, we discuss the functional sample path properties of subsequence＇s C-R increments for a Wiener process in HSlder norm. The obtained results, generalize the corresponding results of Chen and the classic Strassen＇s law of iterated logarithm for a Wiener process.