Titlebook: Probability Theory with Applications; M. M. Rao,R. J. Swift Textbook 2006Latest edition Springer-Verlag US 2006 Characteristic functions.C

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Limit Laws for Some Dependent Sequencesariables. These cover martingale increments and stationary sequences. A limit theorem and a general problem for a random number of certain dependent random variables are also considered in some detail. Moreover, Birkhoff’s ergodic theorem, its comparison with SLLN, and a motivation for strict statio

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Independence and Strong Convergencesults, included in the problems section, indicate the profound impact of the concept of independence on the subject. All these facts provide deep motivation for further study and development of probability theory.

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