# Theory of Stochastic Processes

## With Applications to Financial Mathematics and Risk Theory

Part of the Problem Books in Mathematics book series (PBM)

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Textbook

Part of the Problem Books in Mathematics book series (PBM)

This book is a collection of exercises covering all the main topics in the modern theory of stochastic processes and its applications, including finance, actuarial mathematics, queuing theory, and risk theory.

The aim of this book is to provide the reader with the theoretical and practical material necessary for deeper understanding of the main topics in the theory of stochastic processes and its related fields.

The book is divided into chapters according to the various topics. Each chapter contains problems, hints, solutions, as well as a self-contained theoretical part which gives all the necessary material for solving the problems. References to the literature are also given.

The exercises have various levels of complexity and vary from simple ones, useful for students studying basic notions and technique, to very advanced ones that reveal some important theoretical facts and constructions.

This book is one of the largest collections of problems in the theory of stochastic processes and its applications. The problems in this book can be useful for undergraduate and graduate students, as well as for specialists in the theory of stochastic processes.

Gaussian process Markov chain Martingale Poisson process Stochastic Differential Equations Stochastic Processes diffusion process filtration finite-dimensional distribution queueing theory renewal theory stochastic process

- DOI https://doi.org/10.1007/978-0-387-87862-1
- Copyright Information Springer Science+Business Media, LLC 2010
- Publisher Name Springer, New York, NY
- eBook Packages Mathematics and Statistics
- Print ISBN 978-0-387-87861-4
- Online ISBN 978-0-387-87862-1
- Series Print ISSN 0941-3502
- Buy this book on publisher's site