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Nonlinear Expectations and Stochastic Calculus under Uncertainty: with Robust CLT and G-Brownian Motion (Probability Theory and Stochastic Modelling) - Softcover

 
9783662599051: Nonlinear Expectations and Stochastic Calculus under Uncertainty: with Robust CLT and G-Brownian Motion (Probability Theory and Stochastic Modelling)
  • PublisherSpringer
  • Publication date2020
  • ISBN 10 3662599058
  • ISBN 13 9783662599051
  • BindingPaperback
  • LanguageEnglish
  • Edition number1
  • Number of pages228

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9783662599020: Nonlinear Expectations and Stochastic Calculus under Uncertainty: with Robust CLT and G-Brownian Motion (Probability Theory and Stochastic Modelling, 95)

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ISBN 10:  3662599023 ISBN 13:  9783662599020
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Peng, Shige
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ISBN 10: 3662599058 ISBN 13: 9783662599051
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ISBN 10: 3662599058 ISBN 13: 9783662599051
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is focused on the recent developments on problems of probability model uncertainty by using the notion of nonlinear expectations and, in particular, sublinear expectations. It provides a gentle coverage of the theory of nonlinear expectations and related stochastic analysis. Many notions and results, for example, G-normal distribution, G-Brownian motion, G-Martingale representation theorem, and related stochastic calculus are first introduced or obtained by the author.This book is based on Shige Peng's lecture notes for a series of lectures given at summer schools and universities worldwide. It starts with basic definitions of nonlinear expectations and their relation to coherent measures of risk, law of large numbers and central limit theorems under nonlinear expectations, and develops into stochastic integral and stochastic calculus underG-expectations. It ends with recent research topic onG-Martingale representation theorem andG-stochastic integral for locally integrable processes.With exercises topracticeat the end of each chapter, thisbook can be used as a graduate textbook for students in probability theory and mathematical finance.Each chapter also concludes with a sectionNotes and Comments,which gives history and further references on the material covered in that chapter.Researchers and graduate students interested in probability theory and mathematical finance will find this book very useful. 228 pp. Englisch. Seller Inventory # 9783662599051

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Shige Peng
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ISBN 10: 3662599058 ISBN 13: 9783662599051
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is focused on the recent developments on problems of probability model uncertainty by using the notion of nonlinear expectations and, in particular, sublinear expectations. It provides a gentle coverage of the theory of nonlinear expectations and related stochastic analysis. Many notions and results, for example, G-normal distribution, G-Brownian motion, G-Martingale representation theorem, and related stochastic calculus are first introduced or obtained by the author.This book is based on Shige Peng's lecture notes for a series of lectures given at summer schools and universities worldwide. It starts with basic definitions of nonlinear expectations and their relation to coherent measures of risk, law of large numbers and central limit theorems under nonlinear expectations, and develops into stochastic integral and stochastic calculus underG-expectations. It ends with recent research topic onG-Martingale representation theorem andG-stochastic integral for locally integrable processes.With exercises topracticeat the end of each chapter, thisbook can be used as a graduate textbook for students in probability theory and mathematical finance.Each chapter also concludes with a sectionNotes and Comments,which gives history and further references on the material covered in that chapter.Researchers and graduate students interested in probability theory and mathematical finance will find this book very useful. Seller Inventory # 9783662599051

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