Probability, Random Processes, and Ergodic Properties
Autor Robert M. Grayen Limba Engleză Paperback – 26 noi 2014
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.
| Toate formatele și edițiile | Preț | Express |
|---|---|---|
| Paperback (1) | 948.95 lei 6-8 săpt. | |
| Springer Us – 26 noi 2014 | 948.95 lei 6-8 săpt. | |
| Hardback (1) | 954.78 lei 6-8 săpt. | |
| Springer Us – 7 aug 2009 | 954.78 lei 6-8 săpt. |
Preț: 948.95 lei
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Specificații
ISBN-13: 9781489983312
ISBN-10: 1489983317
Pagini: 360
Ilustrații: XXXV, 322 p.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.5 kg
Ediția:2nd ed. 2009
Editura: Springer Us
Colecția Springer
Locul publicării:New York, NY, United States
ISBN-10: 1489983317
Pagini: 360
Ilustrații: XXXV, 322 p.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.5 kg
Ediția:2nd ed. 2009
Editura: Springer Us
Colecția Springer
Locul publicării:New York, NY, United States
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Public țintă
ResearchCuprins
Probability Spaces.- Random Processes and Dynamical Systems.- Standard Alphabets.- Standard Borel Spaces.- Averages.- Conditional Probability and Expectation.- Ergodic Properties.- Ergodic Theorems.- Process Approximation and Metrics.- The Ergodic Decomposition.
Recenzii
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)
“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)
Textul de pe ultima copertă
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 formathematicians, 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.
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 formathematicians, 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.
Caracteristici
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