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  • © 2009

Probability, Random Processes, and Ergodic Properties

Authors:

  • Second edition of classic text
  • Complete tour of book and guidelines for use given in Introduction, so readers can see at a glance the topics of interest
  • Structures the mathematics for an engineering audience with proofs and interpretations from the point of view of signal modeling, processing, and coding

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Table of contents (10 chapters)

  1. Front Matter

    Pages 1-31
  2. Probability Spaces

    • Robert M. Gray
    Pages 1-33
  3. Random Processes and Dynamical Systems

    • Robert M. Gray
    Pages 35-59
  4. Standard Alphabets

    • Robert M. Gray
    Pages 61-93
  5. Standard Borel Spaces

    • Robert M. Gray
    Pages 95-113
  6. Averages

    • Robert M. Gray
    Pages 115-155
  7. Conditional Probability and Expectation

    • Robert M. Gray
    Pages 157-194
  8. Ergodic Properties

    • Robert M. Gray
    Pages 195-238
  9. Ergodic Theorems

    • Robert M. Gray
    Pages 239-262
  10. Process Approximation and Metrics

    • Robert M. Gray
    Pages 263-294
  11. The Ergodic Decomposition

    • Robert M. Gray
    Pages 295-310
  12. Back Matter

    Pages 1-11

About this book

Probability, Random Processes, and Ergodic Properties is for mathematically inclined information/communication theorists and people working in signal processing. It will also interest those working with random or stochastic processes, including mathematicians, statisticians, and economists.

Highlights:

Complete tour of book and guidelines for use given in Introduction, so readers can see at a glance the topics of interest.

Structures mathematics for an engineering audience, with emphasis on engineering applications.

New in the Second Edition:

Much of the material has been rearranged and revised for pedagogical reasons.

The original first chapter has been split in order to allow a more thorough treatment of basic probability before tackling random processes and dynamical systems.

The final chapter has been broken into two pieces to provide separate emphasis on process metrics and the ergodic decomposition of affine functionals.

Many classic inequalities are now incorporated into the text, along with proofs; and many citations have been added.

Reviews

From the reviews of the second edition:

“This is the second edition of the classic text book by Robert M. Gray on information theory for engineers working in information theory and signal processing. … The new material and the new structure of the text make it an even more valuable introduction to the ergodic theory of random process for students with little or no background from probability and measure theory.” (H. M. Mai, Zentralblatt MATH, Vol. 1191, 2010)

Authors and Affiliations

  • Dept. Electrical Engineering, Stanford University, Stanford, U.S.A.

    Robert M. Gray

Bibliographic Information

Buy it now

Buying options

eBook USD 139.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access