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Probability Random Processes and Ergodic Properties by Robert M. Gray Hardcover | Indigo Chapters
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Probability Random Processes and Ergodic Properties by Robert M. Gray Hardcover | Indigo Chapters - new book

ISBN: 9781441910899

Probability, Random Processes, and Ergodic Properties is for mathematically inclined information/communication theorists and people working in signal processing. It will also interest tho… More...

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Probability, Random Processes, and Ergodic Properties - Robert M. Gray
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Robert M. Gray:

Probability, Random Processes, and Ergodic Properties - hardcover

2009, ISBN: 9781441910899

[ED: Gebunden], [PU: Springer US], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Second edition of classic textComplete tour of book and… More...

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Probability Random Processes and Ergodic Properties - Robert M. Gray
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Robert M. Gray:
Probability Random Processes and Ergodic Properties - Paperback

2009

ISBN: 9781441910899

*Probability Random Processes and Ergodic Properties* - Auflage 2009 / gebundene Ausgabe für 203.49 € / Aus dem Bereich: Bücher, Wissenschaft, Technik Medien > Bücher nein Buch (gebunden)… More...

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Probability, Random Processes, and Ergodic Properties  2nd ed. 2009 - Gray, Robert M.
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Gray, Robert M.:
Probability, Random Processes, and Ergodic Properties 2nd ed. 2009 - used book

2009, ISBN: 9781441910899

2nd ed. 2009 Neubindung, Buchschnitt etwas zu weit abgeschnitten 5512722/12 Versandkostenfreie Lieferung linear optimization,communication,signal processing,Signal,information,metrics,Mar… More...

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Probability, Random Processes, and Ergodic Properties - Gray, Robert M.
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Gray, Robert M.:
Probability, Random Processes, and Ergodic Properties - used book

2009, ISBN: 9781441910899

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Details of the book
Probability Random Processes and Ergodic Properties

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.

Details of the book - Probability Random Processes and Ergodic Properties


EAN (ISBN-13): 9781441910899
ISBN (ISBN-10): 1441910891
Hardcover
Paperback
Publishing year: 2009
Publisher: SPRINGER NATURE
322 Pages
Weight: 0,683 kg
Language: eng/Englisch

Book in our database since 2009-10-01T07:59:53-04:00 (New York)
Detail page last modified on 2023-12-16T15:07:43-05:00 (New York)
ISBN/EAN: 9781441910899

ISBN - alternate spelling:
1-4419-1089-1, 978-1-4419-1089-9
Alternate spelling and related search-keywords:
Book author: robert gray, robert springer
Book title: probability course, probability and random processes, properties processes


Information from Publisher

Author: Robert M. Gray
Title: Probability, Random Processes, and Ergodic Properties
Publisher: Springer; Springer US
322 Pages
Publishing year: 2009-08-07
New York; NY; US
Printed / Made in
Weight: 1,510 kg
Language: English
160,49 € (DE)
164,99 € (AT)
177,00 CHF (CH)
POD
XXXV, 322 p.

BB; Communications Engineering, Networks; Hardcover, Softcover / Technik/Elektronik, Elektrotechnik, Nachrichtentechnik; Nachrichtententechnik, Telekommunikation; Verstehen; Markov; Signal; communication; information; linear optimization; metrics; signal processing; Signal, Image and Speech Processing; Dynamical Systems and Ergodic Theory; Coding and Information Theory; Communications Engineering, Networks; Signal, Speech and Image Processing; Dynamical Systems; Coding and Information Theory; Elektronik; Digitale Signalverarbeitung (DSP); Kybernetik und Systemtheorie; Kodierungstheorie und Verschlüsselung (Kryptologie); Informationstheorie; BB; BC; EA

Introduction.- Probability Spaces.- Sample Spaces.- Metric Spaces.- Measurable Spaces.- Borel Measurable Spaces.- Polish Spaces.- Probability Spaces.- Complete Probability Spaces.- Extension.- Random Processes and Dynamical Systems.- Measurable Functions and Random Variables.- Approximation of Random Variables and Distributions.- Random Processes and Dynamical Systems.- Distributions.- Equivalent Random Processes.- Codes, Filters, and Factors.- Isomorphism.- Standard Alphabets.- Extension of Probability Measures.- Standard Spaces.- Some Properties of Standard Spaces.- Simple Standard Spaces.- Characterization of Standard Spaces.- Extension in Standard Spaces.- The Kolmogorov Extension Theorem.- Bernoulli Processes.- Discrete B-Processes.- Extension Without a Basis.- Lebesgue Spaces.- Lebesgue Measure on the Real Line.- Standard Borel Spaces.- Products of Polish Spaces.- Subspaces of Polish Spaces.- Polish Schemes.- Product Measures.- IID Random Processes and B-processes.- Standard Spaces vs. Lebesgue Spaces.- Averages.- Discrete Measurements.- Quantization.- Expectation.- Limits.- Inequalities.- Integrating to the Limit.- Time Averages.- Convergence of Random Variables.- Stationary Random Processes.- Block and Asymptotic Stationarity.- Conditional Probability and Expectation.- Measurements and Events.- Restrictions of Measures.- Elementary Conditional Probability.- Projections.- The Radon-Nikodym Theorem.- Probability Densities.- Conditional Probability.- Regular Conditional Probability.- Conditional Expectation.- Independence and Markov Chains.- Ergodic Properties.- Ergodic Properties of Dynamical Systems.- Implications of Ergodic Properties.- Asymptotically Mean Stationary Processes.- Recurrence.- Asymptotic Mean Expectations.- Limiting Sample Averages.- Ergodicity.- Block Ergodic and Totally Ergodic Processes.- The Ergodic Decomposition.- Ergodic Theorems.- The Pointwise Ergodic Theorem.- Mixing Random Processes.- Block AMS Processes.- The Ergodic Decomposition of AMS Systems.- The Subadditive Ergodic Theorem.- Process Approximation and Metrics.- Distributional Distance.- Optimal Coupling Distortion and dp Distance.- Prohorov and Variational Distances.- Evaluating dp .- Measures on Measures.- The Ergodic Decomposition.- The Ergodic Decomposition Revisited.- The Ergodic Decomposition of Markov Processes.- Barycenters.- Affine Functions of Measures.- The Ergodic Decomposition of Affine Functionals.- References.-

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