Rojtgarts, A. D. A cut theorem for weakly predictable sets in the plane. (English. Russian original) Zbl 0877.60011 Theory Probab. Math. Stat. 45, 101-104 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 104-108 (1991). Summary: An analogue of a theorem of Dellacherie on sections of random sets on the line is proved for weakly predictable sets in the plane. Necessary and sufficient conditions for weak predictability of a stopping line are found. MSC: 60D05 Geometric probability and stochastic geometry 60G40 Stopping times; optimal stopping problems; gambling theory 60G25 Prediction theory (aspects of stochastic processes) Keywords:sections of random sets; conditions for weak predictability; stopping line × Cite Format Result Cite Review PDF