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Probability, Random Processes, and Ergodic Properties
Springer-Verlag US 2009 ;ISBN: 9781441910899 ;ISBN: 1441910891 ;ISBN: 1489983317 ;ISBN: 9781489983312 ;EISBN: 1441910905 ;EISBN: 9781441910905 ;DOI: 10.1007/978-1-4419-1090-5 ;OCLC: 656394902
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Title:
Probability, Random Processes, and Ergodic Properties
Author:
Gray, Robert M
Subjects:
Coding and Information Theory
;
Communications Engineering, Networks
;
Dynamical Systems and Ergodic Theory
;
Engineering
;
Measure theory
;
Probabilities
;
Signal, Image and Speech Processing
;
Stochastic processes
Description:
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.
Publisher:
New York, NY: Springer-Verlag
Creation Date:
2009
Format:
348
Language:
English
Identifier:
ISBN: 9781441910899
ISBN: 1441910891
ISBN: 1489983317
ISBN: 9781489983312
EISBN: 1441910905
EISBN: 9781441910905
DOI: 10.1007/978-1-4419-1090-5
OCLC: 656394902
Source:
Alma/SFX Local Collection
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