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On right continuity of a family of two-parameter [sigma]-fields

Zongxun Chen

Stochastic Processes and their Applications, 1997, vol. 66, issue 1, 107-113

Abstract: This paper first proves a sufficient and necessary condition for the right continuity of a family of two-parameter [sigma]-fields. Then, it proceeds to introduce condition (Fs3) and proves that condition (Fs3) is equivalent to right continuity of a family of [sigma]-fields prior to stopping lines.

Keywords: Family; of; two-parameter; [sigma]-fields; Condition; (F3); Condition; (Fs3); Stopping; line; [sigma]-field; prior; to; stopping; line (search for similar items in EconPapers)
Date: 1997
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