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Introduction to Stochastic Processes (Chapman & Hall/CRC Probability) - Hardcover

Lawler, Gregory F.

 
9781584886518: Introduction to Stochastic Processes (Chapman & Hall/CRC Probability)
Hardcover
ISBN 10: 158488651X ISBN 13: 9781584886518
Verlag: Chapman and Hall/CRC, 2006

Inhaltsangabe

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 Itô'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 motion

    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.

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    Über die Autorin bzw. den Autor

    Greogory F. Lawler

    Von der hinteren Coverseite

    Focusing on mathematical ideas rather than proofs, Introduction to Stochastic Processes provides access to important fundamentals of stochastic processes. This second edition features additional material on stochastic integration, with expanded discussion of Girsanov transformation, an introduction to the Feynman-Kac formula, and an exposition on the Black-Scholes formula with applications from the field of mathematical finance. This new edition also includes new and expanded topics such as Doob's maximal inequality in the chapter on martingales and self similarity in the chapter on Brownian motion. It remains an ideal reference for professional mathematicians and statisticians as well as students.

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    Verlag
    Chapman and Hall/CRC
    Erscheinungsdatum
    2006
    Sprache
    Englisch
    ISBN 10 
    158488651X
    ISBN 13 
    9781584886518
    Einband
    Gebundene Ausgabe
    Auflage
    2
    Anzahl der Seiten
    234
    Kontakt zum Hersteller
    preigu GmbH & Co. KG
    mail@preigu.de

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