# Probability, Random Processes, and Ergodic Properties

## Robert M. Gray

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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.

"Sinopsis" puede pertenecer a otra edición de este libro.

From the Back Cover:

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

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 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.

Completion of event spaces and probability measures is treated in more detail.

More specific examples of random processes have been introduced.

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

From the Author’s Preface...

This book has a long history. It began over two decades ago as the first half of a book on information and ergodic theory. The intent was and remains to provide a reasonably self-contained advanced (at least for engineers) treatment of measure theory, probability theory, and random processes, with an emphasis on general alphabets and on ergodic and stationary properties of random processes that might be neither ergodic nor stationary.

The intended audience was mathematically inclined engineers who had not had formal courses in measure theoretic probability or ergodic theory. Much of the material is familiar stuff for mathematicians, but many of the topics and results had not then previously appeared in books. The original project grew too large and the first part contained much that would likely bore mathematicians and discourage them from the second part. Hence I finally followed a suggestion to separate the material and split the project in two. The resulting manuscript fills a unique hole in the literature. Personal experience indicates that the intended audience rarely has the time to take a complete course in measure and probability theory in a mathematics or statistics department, at least not before they need some of the material in their research.

I intended in this book to provide a catalogue of many results that I have found need of in my own research together with proofs that I could follow. I also intended to clarify various connections that I had found confusing or insufficiently treated in my own reading. If the book provides similar service for others, it will have succeeded.

Robert M. Gray received his PhD from the University of Southern California, and is Professor and Vice Chair of Electrical Engineering at Stanford University. He has written over 200 scientific papers in areas including information theory, applied probability, signal processing, speech and image processing and coding, ergodic thoery, and the theory of Toeplitz matrices. He is a Fellow of the IEEE and the Institute of Mathematical Statistics.

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## 1.Probability, Random Processes, and Ergodic Properties

Editorial: Springer (2016)
ISBN 10: 1441910891 ISBN 13: 9781441910899
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Descripción Springer, 2016. Paperback. Estado de conservación: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. de la librería ria9781441910899_lsuk

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## 2.Probability, Random Processes, and Ergodic Properties (Hardback)

Editorial: Springer-Verlag New York Inc., United States (2009)
ISBN 10: 1441910891 ISBN 13: 9781441910899
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The Book Depository US
(London, Reino Unido)
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Descripción Springer-Verlag New York Inc., United States, 2009. Hardback. Estado de conservación: New. 2nd ed. 2009. Language: English . Brand New 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. Nº de ref. de la librería LIB9781441910899

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## 3.Probability, Random Processes, and Ergodic Properties (Hardback)

Editorial: Springer-Verlag New York Inc., United States (2009)
ISBN 10: 1441910891 ISBN 13: 9781441910899
Librería
The Book Depository
(London, Reino Unido)
Valoración

Descripción Springer-Verlag New York Inc., United States, 2009. Hardback. Estado de conservación: New. 2nd ed. 2009. Language: English . Brand New 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. Nº de ref. de la librería LIB9781441910899

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## 4.Probability, Random Processes, and Ergodic Properties

Editorial: Springer-Verlag New York Inc. (2009)
ISBN 10: 1441910891 ISBN 13: 9781441910899
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Descripción Springer-Verlag New York Inc., 2009. HRD. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IP-9781441910899

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## 5.Probability, Random Processes, and Ergodic Properties

Editorial: Springer 2009-08-10 (2009)
ISBN 10: 1441910891 ISBN 13: 9781441910899
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Descripción Springer 2009-08-10, 2009. Estado de conservación: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Nº de ref. de la librería NU-LBR-00804807

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## 6.Probability, Random Processes, and Ergodic Properties

Editorial: Springer-Verlag New York Inc. (2009)
ISBN 10: 1441910891 ISBN 13: 9781441910899
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Descripción Springer-Verlag New York Inc., 2009. HRD. Estado de conservación: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Nº de ref. de la librería IP-9781441910899

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## 7.Probability, Random Processes, and Ergodic Properties

Editorial: Springer (2009)
ISBN 10: 1441910891 ISBN 13: 9781441910899
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Herb Tandree Philosophy Books
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Descripción Springer, 2009. Hardback. Estado de conservación: NEW. 9781441910899 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0294462

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## 8.Probability, Random Processes, and Ergodic Properties

Editorial: Springer US 2009-08-07, New York (2009)
ISBN 10: 1441910891 ISBN 13: 9781441910899
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Descripción Springer US 2009-08-07, New York, 2009. hardback. Estado de conservación: New. Nº de ref. de la librería 9781441910899

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## 9.Probability, Random Processes, and Ergodic Properties

Editorial: Springer
ISBN 10: 1441910891 ISBN 13: 9781441910899
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Descripción Springer. Hardcover. Estado de conservación: New. Hardcover. 322 pages. Dimensions: 9.3in. x 6.4in. x 1.1in.Probability, Random Processes, and Ergodic Properties is for mathematically inclined informationcommunication 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. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Hardcover. Nº de ref. de la librería 9781441910899

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## 10.Probability, Random Processes, and Ergodic Properties

Editorial: Springer-Verlag Gmbh Aug 2009 (2009)
ISBN 10: 1441910891 ISBN 13: 9781441910899