Method of backward induction for using optimal stopping rules
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 3 (2012), pp. 88-97
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Method of backward induction for using optimal stopping rules. It is shown how a backward induction method allows to use optimal stopping rules to maximize gains (loss mitigation) in the systems of detecting spontaneous phenomena.
Keywords: method of inverse induction, optimal stopping rules.
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A. K. Rozov; A. N. Tsarapkin. Method of backward induction for using optimal stopping rules. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 3 (2012), pp. 88-97. http://geodesic.mathdoc.fr/item/VSPUI_2012_3_a8/

[1] Snell I. L., “Applications of martingal system theorems”, Trans. Amer. Math. Soc., 1953, 293–312 | MR

[2] Kallianpur G., Stochastic filtering theory

[3] Robbins H., Siegmund D., Chow G. S., Creat expectations: the theory of optimal stopping

[4] Elliott R. J., Stochastic calculus and applications

[5] Shiryaev A. N., Statisticheskii posledovatelnyi analiz, Nauka, M., 1976, 271 pp.

[6] Urusov M. A., “Ob odnom svoistve momenta dostizheniya maksimuma brounovskim dvizheniem v nekotorykh zadachakh optimalnoi ostanovki”, Teoriya veroyatnostei i ee primeneniya, 49:1 (2004), 184–196

[7] Peskir G., Shiryaev A., Optimal stopping and free-boundary problems, Birkhauser, Basel, 2006, 500 pp. | MR | Zbl