Optimal stopping and free-boundary problems

The present monograph, based mainly on studies of the authors and their - authors, and also on lectures given by the authors in the past few years, has the following particular aims: To present basic results (with proofs) of optimal stopping theory in both discrete and continuous time using both mar...

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Auteurs principaux: Peškir, Goran, Širâev, Al½bert Nikolaevič, 1934- (Auteur)
Format: Livre numérique
Langue:Anglais
Publié: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Collection:Lectures in Mathematics. ETH Zürich
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Note: Description d'après consultation du 15 avril 2011
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Edition sous un autre format:• Optimal stopping and free boundary problems, Goran Peskir, Albert Shiryaev, 2006, Basel [etc.], Birkhäuser Verlag, 1 vol. (XXII-500 p.), Lectures in mathematics / ETH Zürich, 3-7643-2419-8
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Résumé:The present monograph, based mainly on studies of the authors and their - authors, and also on lectures given by the authors in the past few years, has the following particular aims: To present basic results (with proofs) of optimal stopping theory in both discrete and continuous time using both martingale and Mar- vian approaches; To select a seriesof concrete problems ofgeneral interest from the t- ory of probability, mathematical statistics, and mathematical ?nance that can be reformulated as problems of optimal stopping of stochastic processes and solved by reduction to free-boundary problems of real analysis (Stefan problems). The table of contents found below gives a clearer idea of the material included in the monograph. Credits and historical comments are given at the end of each chapter or section. The bibliography contains a material for further reading. Acknowledgements.TheauthorsthankL.E.Dubins,S.E.Graversen,J.L.Ped- sen and L. A. Shepp for useful discussions. The authors are grateful to T. B. To- zovafortheexcellenteditorialworkonthemonograph.Financialsupportandh- pitality from ETH, Zur ich (Switzerland), MaPhySto (Denmark), MIMS (Man- ester) and Thiele Centre (Aarhus) are gratefully acknowledged. The authors are also grateful to INTAS and RFBR for the support provided under their grants. The grant NSh-1758.2003.1 is gratefully acknowledged. Large portions of the text were presented in the School and Symposium on Optimal Stopping with App- cations that was held in Manchester, England from 17th to 27th January 2006
Description:Description d'après consultation du 15 avril 2011
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Bibliographie:Bibliogr. p. [477]-492. Index
ISBN:9783764373900
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