Nonlinear Expectations and Stochastic Calculus under Uncertainty : with Robust CLT and G-Brownian Motion

Language: English

Published by Springer Vieweg, 2020

3662599058 / 9783662599051

Series: Book 28 of 35 - Probability Theory and Stochastic Modelling

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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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.…

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Title
Nonlinear Expectations and Stochastic Calculus under Uncertainty : with Robust CLT and G-Brownian Motion
Author
Shige Peng
Publisher
Springer Vieweg
Publication year
2020
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3662599058
ISBN 13
9783662599051
Item weight
353 grams
Dimensions
235x155x13 mm
Series
Book 28 of 35: Probability Theory and Stochastic Modelling

AHA-BUCH GmbH

Einbeck, Germany

5-star seller

AbeBooks seller since August 14, 2006

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