Stochastic processes

Bibliographic Information

Stochastic processes

J.L. Doob

(Wiley series in probability and mathematical statistics, . Probability and mathematical statistics)(Wiley publications in statistics)

Wiley, c1953

  • : hbk
  • : pbk

Related Bibliography 1 items

Available at  / 163 libraries

Search this Book/Journal

Note

Bibliography: p. 641-649

Includes index

Description and Table of Contents

Description

The theory of stochastic processes has developed so much in the last twenty years that the need for a systematic account of the subject has been felt, particularly by students and instructors of probability. This book fills that need. While even elementary definitions and theorems are stated in detail, this is not recommended as a first text in probability and there has been no compromise with the mathematics of probability. Since readers complained that omission of certain mathematical detail increased the obscurity of the subject, the text contains various mathematical points that might otherwise seem extraneous. A supplement includes a treatment of the various aspects of measure theory. A chapter on the specialized problem of prediction theory has also been included and references to the literature and historical remarks have been collected in the Appendix.

Table of Contents

Introduction and Probability Background. Definition of a Stochastic Process--Principal Classes. Processes with Mutually Independent Random Variables. Processes with Mutually Uncorrelated or Orthogonal Random Variables. Markov Processes--Discrete Parameter. Markov Processes--Continuous Parameter. Martingales. Processes with Independent Increments. Processes with Orthogonal Increments. Stationary Processes--Discrete Parameter. Stationary Processes--Continuous Parameter. Linear Least Squares Prediction--Stationary (Wide Sense) Processes. Supplement. Appendix. Bibliography. Index.

by "Nielsen BookData"

Related Books: 1-2 of 2

Details

  • NCID
    BA00957308
  • ISBN
    • 0471218138
    • 0471523690
  • LCCN
    52011857
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New York
  • Pages/Volumes
    vii, 654 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
Page Top