Applied Probability ( AMS/IP Studies in Advanced Mathematics )

Publication series :AMS/IP Studies in Advanced Mathematics

Author: Raymond Chan;Yue-Kuen Kwok;David Yao  

Publisher: American Mathematical Society‎

Publication year: 2017

E-ISBN: 9781470438166

P-ISBN(Paperback): 9780821831915

Subject: O1 Mathematics

Keyword: 暂无分类

Language: ENG

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Applied Probability

Description

This book presents articles on original material from invited talks given at the “IMS Workshop on Applied Probability” organized by the Institute of Mathematical Sciences at the Chinese University of Hong Kong in May 1999. The goal of the workshop was to promote research in applied probability for local mathematicians and engineers and to foster exchange with experts from other parts of the world. The main themes were mathematical finance and stochastic networks. The topics range from the theoretical study, e.g., ergodic theory and diffusion processes, to very practical problems, such as convertible bonds with market risk and insider trading. The wide scope of coverage in the book make it a helpful reference for graduate students and researchers, and for practitioners working in mathematical finance.

Chapter

Title page

Contents

Foreword

A direct method for stochastic automata networks

Estimating the speed of random walks

A new story of ergodic theory

Solvability of a stochastic linear quadratic optimal control problem

Convertible bonds with market risk and credit risk

Quasi-Monte Carlo methods and their randomizations

Contingent claim approach for analyzing the credit risk of defaultable currency swaps

Dynamic insider trading

A new hedging model and a nonlinear generalization of Black-Scholes formula

An overview on the Martingale approach to option pricing

On comparison theorems for diffusion processes

Back Cover

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