LINEAR ISOMETRIC NON-ANTICIPATIVETRANSFORMATIONS OF WIENER PROCESS
LINEAR ISOMETRIC NON-ANTICIPATIVE TRANSFORMATIONS OF WIENER PROCESS作者机构:Matematički Fakultet Studentski Trg 16 11000 Beograd Yugoslavia
出 版 物:《Chinese Annals of Mathematics,Series B》 (数学年刊(B辑英文版))
年 卷 期:2000年第21卷第1期
页 面:109-114页
核心收录:
学科分类:02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学(可授理学、经济学学位)] 070103[理学-概率论与数理统计] 0701[理学-数学]
主 题:Resolution of identity Separable Hilbert space Wide sense Wiener process Non-anticipative transformation
摘 要:The necessary and sufficient conditions are given so that a non-anticipative transformation in Hilbert space is isometric. In terms of second order Wiener process, these conditions assure that a non-anticipative transformation of Wiener process is a Wiener process, too.