書誌事項

Foundations

L.C.G. Rogers and David Williams

(Wiley series in probability and mathematical statistics, . Probability and mathematical statistics . Diffusions, Markov processes, and martingales ; v. 1)

Wiley, c1994

2nd ed

大学図書館所蔵 件 / 50

この図書・雑誌をさがす

注記

Bibliography: p. [351]-373

Includes index

内容説明・目次

内容説明

This updated introduction to the field has been completely revised to include the latest research on probability. The textbook has also been restructured to improve its logical progression and ease of use.

目次

  • Brownian Motion
  • Introduction
  • Basics About Brownian Motion
  • Brownian Motion in Higher Dimensions
  • Gaussian Processes and Levy Processes
  • Some Classical Theory
  • Basic Measure Theory
  • Basic Probability Theory
  • Stochastic Processes
  • Discrete-Parameter Martingale Theory
  • Continuous-Parameter Supermartingales
  • Probability Measure on Lusin Spaces
  • Markov Processes
  • Transition Functions and Semigroups
  • Feller-Dynkin Processes
  • Additive Functionals
  • Approach to Ray Processes: The Martin Boundary
  • Ray Processes
  • Applications.

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