Abstract
Some sets $L$ of sample paths have the desirable property that if there exists a process with given finite-dimensional distributions and with paths in $L$ (with probability 1), then every separable process with these finite-dimensional distributions has paths in $L$. A class of such sets is constructed.
Citation
Patrick Billingsley. "A Note on Separable Stochastic Processes." Ann. Probab. 2 (3) 476 - 479, June, 1974. https://doi.org/10.1214/aop/1176996662
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