Bibliographic Information

From measures to itô integrals

Ekkehard Kopp

(AIMS library series)

Cambridge University Press, 2011

  • : pbk.

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Note

Includes bibliographical references (p. 118) and index

Description and Table of Contents

Description

From Measures to Ito Integrals gives a clear account of measure theory, leading via L2-theory to Brownian motion, Ito integrals and a brief look at martingale calculus. Modern probability theory and the applications of stochastic processes rely heavily on an understanding of basic measure theory. This text is ideal preparation for graduate-level courses in mathematical finance and perfect for any reader seeking a basic understanding of the mathematics underpinning the various applications of Ito calculus.

Table of Contents

  • Preface
  • 1. Probability and measure
  • 2. Measures and distribution functions
  • 3. Measurable functions/random variables
  • 4. Integration and expectation
  • 5. Lp-spaces and conditional expectation
  • 6. Discrete-time martingales
  • 7. Brownian motion
  • 8. Stochastic integrals
  • Bibliography
  • Index.

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Details
  • NCID
    BB0548012X
  • ISBN
    • 9781107400863
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cambridge
  • Pages/Volumes
    vii, 120 p.
  • Size
    22 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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