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Temps d’arret optimal, théorie générale des processus et processus de Markov. (French) Zbl 0342.60036


MSC:

60G40 Stopping times; optimal stopping problems; gambling theory
60J25 Continuous-time Markov processes on general state spaces
60J45 Probabilistic potential theory
Full Text: DOI

References:

[1] Azema, J., Le retournement du temps, Ann. Sci. école Norm. Sup., 4ℴ série, 6, 439-519 (1973) · Zbl 0303.60061
[2] Bismut, J. M., Dualité convexe, temps d’arrÊt optimal et contrÔle stochastique, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 38, 169-198 (1977) · Zbl 0336.60070
[3] Blumenthal, R. M.; Getoor, R. K., Markov processes and potential theory (1968), New York: Academic Press, New York · Zbl 0169.49204
[4] Dellacherie, C., Capacités et processus stochastiques, Ergebnisse der Mathematik und ihrer Grenzgebiete. Band 67 (1972), Berlin-Heidelberg-New York: Springer, Berlin-Heidelberg-New York · Zbl 0246.60032
[5] Dellacherie, C.; Meyer, P. A., Probabilités et Potentiels (1975), Paris: Hermann, Paris · Zbl 0323.60039
[6] Engelbert, H. J., On the Theory of Optimal Stopping Rules for Markov Processes, Theor. Probab. Appl., 18, nℴ 2, 304-311 (1973) · Zbl 0292.60137
[7] Engelbert, H. J., On optimal stopping rules for Markov Processes with continuous time, Theor. Probab. Appl., 19, nℴ 2, 278-296 (1974) · Zbl 0324.60039
[8] Fakeev, A. G., Optimal Stopping Rules for stochastic processes with continuous parameters, Theor. Probab. Appl., 15, nℴ 2, 324-331 (1970) · Zbl 0227.60030
[9] Getoor, R. K., Markov processes: Ray processes and Right processes (1975), Berlin-Heidelberg-New York: Springer, Berlin-Heidelberg-New York · Zbl 0299.60051
[10] Grigelionis, B. I.; Shiryaev, A. N., On Stefan’s problem and optimal stopping rules for Markov Processes, Theor. Probab. Appl., 11, nℴ 4, 541-558 (1966) · Zbl 0178.53303
[11] Mertens, J. F., Théorie des processus stochastiques généraux. Application aux Surmartingales, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 22, 45-68 (1972) · Zbl 0236.60033
[12] Mertens, J. F., Strongly supermedian functions and optimal stopping, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 26, 119-139 (1973) · Zbl 0297.60038
[13] Rost, H., The stopping distribution of a Markov process, Invent. Math., 14, 1-16 (1971) · Zbl 0225.60025
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