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  • Textbook
  • © 2012

An Introduction to Continuous-Time Stochastic Processes

Theory, Models, and Applications to Finance, Biology, and Medicine

Birkhäuser
  • Expanded and revised to include more thorough introduction and enhanced coverage of financial modling applications, among other things
  • Fully updated references reflect latest research in the field
  • Concise, yet rigorous presentation covers a broad range of applications
  • Valuable for students, researchers, and practitioners
  • Minimal background knowledge required
  • Includes supplementary material: sn.pub/extras
  • Includes supplementary material: sn.pub/extras

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xiii
  2. Theory of Stochastic Processes

    1. Front Matter

      Pages 1-1
  3. The Theory of Stochastic Processes

    1. Fundamentals of Probability

      • Vincenzo Capasso, David Bakstein
      Pages 3-76
    2. Stochastic Processes

      • Vincenzo Capasso, David Bakstein
      Pages 77-171
    3. The Itô Integral

      • Vincenzo Capasso, David Bakstein
      Pages 173-212
    4. Stochastic Differential Equations

      • Vincenzo Capasso, David Bakstein
      Pages 213-273
  4. Applications of Stochastic Processes

    1. Front Matter

      Pages 275-275
  5. The Applications of Stochastic Processes

    1. Applications to Finance and Insurance

      • Vincenzo Capasso, David Bakstein
      Pages 277-310
    2. Applications to Biology and Medicine

      • Vincenzo Capasso, David Bakstein
      Pages 311-358
  6. Back Matter

    Pages 359-434

About this book

Expanding on the first edition of An Introduction to Continuous-Time Stochastic Processes, this concisely written book is a rigorous and self-contained introduction to the theory of continuous-time stochastic processes. A balance of theory and applications, the work features concrete examples of modeling real-world problems from biology, medicine, industrial applications, finance, and insurance using stochastic methods. No previous knowledge of stochastic processes is required.

Reviews

From the reviews of the second edition:

“The book is useful both for undergraduate and graduate students in stochastics, finances and biology and for all persons who is interested in stochastic calculus and its applications.” (Yuliya S. Mishura, Zentralblatt MATH, Vol. 1261, 2013)

Authors and Affiliations

  • Dipartimento di Matematica, Università degli Studi di Milano, Milano, Italy

    Vincenzo Capasso

  • ADAMSS (Interdisciplinary Centre for Advanced Applied Mathematical and Statistical Sciences), University of Milan, Milan, Italy

    David Bakstein

Bibliographic Information

Buy it now

Buying options

eBook USD 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access