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

作　　者：WEI Qi-cai 

机构地区：[1]School of Mathematics & Computer Science, Wuhan Polytechnic University

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2015年第2期217-226,共10页高校应用数学学报（英文版）（B辑）

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

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.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.

关 键 词：Wiener process subsequence＇s C-R increments HSlder norm. 

分 类 号：O189[理学—数学]