On infinitesimal ~-fields generated by random processes
نویسنده
چکیده
Let X(t) , t >1 O, be a Polish space-valued r a n d o m process defined on a probabi l i ty space (~, ~ , P), where ~ is the P-comple t ion of a countab ly generated a-field ~ o . Let ~(t + ) (the ' l ook-ahead ' a-field at t) and r ) (the ' l ook-back ' a-field at t) denote the P-comple t ions of c~>,a(X(y), t <~ y <~ s) and c~s<ta(X(y), s ~< y ~< t) respectively. The aim of this note is to p rove the following fact:
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تاریخ انتشار 2008