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On stopping time directed convergence. (English) Zbl 0371.60055


MSC:

60G40 Stopping times; optimal stopping problems; gambling theory
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References:

[1] D. G. Austin, G. A. Edgar, and A. Ionescu Tulcea, Pointwise convergence in terms of expectations, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 30 (1974), 17 – 26. · Zbl 0276.60034
[2] Alexandra Bellow, Stability properties of the class of asymptotic martingales, Bull. Amer. Math. Soc. 82 (1976), no. 2, 338 – 340. · Zbl 0365.60042
[3] R. V. Chacon and L. Sucheston, On convergence of vector-valued asymptotic martingales, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 33 (1975/76), no. 1, 55 – 59. · Zbl 0297.60005
[4] G. A. Edgar and L. Sucheston, Amarts, a class of asymptotic martingales (Discrete parameters), J. Multivariate Anal. (to appear). · Zbl 0336.60033
[5] Paul-A. Meyer, Probability and potentials, Blaisdell Publishing Co. Ginn and Co., Waltham, Mass.-Toronto, Ont.-London, 1966. · Zbl 0138.10401
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