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Orderamarts: A class of asymptotic martingales. (English) Zbl 0407.60042


MSC:

60G40 Stopping times; optimal stopping problems; gambling theory
60G44 Martingales with continuous parameter
60G99 Stochastic processes
60G50 Sums of independent random variables; random walks
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[1] Astbury, K, Amarts indexed by directed sets, Ann. probability, (1977), in press · Zbl 0378.60017
[2] Bellow, A, LES amarts uniformes, C. R. acad. sci. Paris, ser. A, 284, 1295-1298, (1977) · Zbl 0359.60047
[3] Benyamini, Y; Ghoussoub, N, Une caracterisation probabiliste de l1, C. R. acad. sci. Paris, ser. A, 286, 795-797, (1977) · Zbl 0379.60050
[4] Chacon, R.V; Sucheston, L, On convergence of vector-valued asymptotic martingales, Z. wahrscheinlichkeitstheorie und verw. gebiete, 33, 55-59, (1975) · Zbl 0297.60005
[5] Chatterji, S.D, Martingale convergence and the Radon-Nikodym theorem, Math. scand., 21-41, (1968) · Zbl 0175.14503
[6] Dunford, N; Schartz, J.T, (), Part I
[7] Edgar, G.A; Sucheston, L, The Riesz decomposition for vector-valued amarts, Z. wahrscheinlichkeitstheorie und verw. gebiete, 36, 85-92, (1976) · Zbl 0319.60025
[8] Heinich, H, ()
[9] Heinich, H, Martingales asymptotiques pour l’ordre, Ann. inst. Henri Poincaré, (1977), in press · Zbl 0391.60049
[10] Shaeffer, H.H, ()
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