An introduction to continuous-time stochastic processes : theory, models, and applications to finance, biology, and medicine

Bibliographic Information

An introduction to continuous-time stochastic processes : theory, models, and applications to finance, biology, and medicine

Vincenzo Capasso, David Bakstein

(Modeling and simulation in science, engineering & technology)

Birkhäuser , Springer, c2012

2nd ed

Available at  / 9 libraries

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Note

Includes bibliographical references (p. 411-419) and index

Description and Table of Contents

Description

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.

Table of Contents

Part I. The Theory of Stochastic Processes.- Fundamentals of Probability.- Stochastic Processes.- The Ito Integral.- Stochastic Differential Equations.- Part II. The Applications of Stochastic Processes.- Applications to Finance and Insurance.- Applications to Biology and Medicine.- Part III. Appendices.- Measure and Integration.- Convergence of Probability Measures on Metric Spaces.- Elliptic and Parabolic Operators.- D Semigroups and Linear Operators.- E Stability of Ordinary Differential Equations.- References.

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Details

  • NCID
    BB10013407
  • ISBN
    • 9780817683450
  • LCCN
    2003063634
  • Country Code
    xx
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    [S.l.],New York
  • Pages/Volumes
    xiii, 434 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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