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Probability, Random Processes, and Ergodic Properties

Probability, Random Processes, and Ergodic PropertiesJanuary 2, 2010iiProbability, Random Processes, and Ergodic PropertiesRobert M. GrayInformation Systems LaboratoryElectrical Engineering DepartmentStanford UniversitySpringer-VerlagNew Yorkivc 1987 by Springer Verlag. Revised 2001, 2006, 2007, 2008 by Robert M. book is affectionately dedicated to the memory ofElizabeth Dubois Jordan Gray1906 1998R. Adm. Augustine Heard Gray, 1981 Sara Jean Dubois 1811 ?andWilliam Old Billy Gray1750 1825viContentsContentsviiPrefaceix1 Probability and Random Introduction .. Probability Spaces and Random Variables.

of random processes. These in turn provide the means of proving the ergodic decomposition of certain functionals of random processes and of characterizing how close or di erent the long term behavior of distinct random processes can be expected to be. Of particular interest are

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