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Synopsis
Emphasizing fundamental mathematical ideas rather than proofs, Introduction to Stochastic Processes, Second Edition provides quick access to important foundations of probability theory applicable to problems in many fields. Assuming that you have a reasonable level of computer literacy, the ability to write simple programs, and the access to software for linear algebra computations, the author approaches the problems and theorems with a focus on stochastic processes evolving with time, rather than a particular emphasis on measure theory.
For those lacking in exposure to linear differential and difference equations, the author begins with a brief introduction to these concepts. He proceeds to discuss Markov chains, optimal stopping, martingales, and Brownian motion. The book concludes with a chapter on stochastic integration. The author supplies many basic, general examples and provides exercises at the end of each chapter.
New to the Second Edition:
Applicable to the fields of mathematics, statistics, and engineering as well as computer science, economics, business, biological science, psychology, and engineering, this concise introduction is an excellent resource both for students and professionals.
"synopsis" may belong to another edition of this title.
About the Author
Greogory F. Lawler
Review
"Well-chosen examples and interesting exercises make this text a good choice for a first course in stochastic processes for a broad class of students." - Journal of the American Statistical Association
"About this title" may belong to another edition of this title.
- PublisherChapman and Hall/CRC
- Publication date2006
- ISBN 10 158488651X
- ISBN 13 9781584886518
- BindingHardcover
- LanguageEnglish
- Edition number2
- Number of pages248
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Hardcover. Condition: new. Hardcover. Emphasizing fundamental mathematical ideas rather than proofs, Introduction to Stochastic Processes, Second Edition provides quick access to important foundations of probability theory applicable to problems in many fields. Assuming that you have a reasonable level of computer literacy, the ability to write simple programs, and the access to software for linear algebra computations, the author approaches the problems and theorems with a focus on stochastic processes evolving with time, rather than a particular emphasis on measure theory.For those lacking in exposure to linear differential and difference equations, the author begins with a brief introduction to these concepts. He proceeds to discuss Markov chains, optimal stopping, martingales, and Brownian motion. The book concludes with a chapter on stochastic integration. The author supplies many basic, general examples and provides exercises at the end of each chapter.New to the Second Edition:Expanded chapter on stochastic integration that introduces modern mathematical finance Introduction of Girsanov transformation and the Feynman-Kac formula Expanded discussion of Ito's formula and the Black-Scholes formula for pricing options New topics such as Doob's maximal inequality and a discussion on self similarity in the chapter on Brownian motionApplicable to the fields of mathematics, statistics, and engineering as well as computer science, economics, business, biological science, psychology, and engineering, this concise introduction is an excellent resource both for students and professionals. Emphasizing fundamental mathematical ideas rather than proofs, this book provides access to important foundations of probability theory applicable to problems in many fields. It also discusses Markov chains, optimal stopping, martingales, and Brownian motion. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781584886518
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Introduction to Stochastic Processes, Second Edition (Chapman & Hall/Crc Probability Series)
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