Entropy and limit theorems

This thesis uses techniques based on Shannon entropy to prove probabilistic limit theorems. Chapter 1 defines entropy and Fisher information, and reviews previous work. We reformulate the Central Limit Theorem to state that the entropy of sums of independent identically distribution real-value rando...

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Bibliographic Details
Main Author: Johnson, O.
Published: University of Cambridge 2000
Subjects:
519
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.605633