Titlebook: Information Theory, Combinatorics, and Search Theory; In Memory of Rudolf Harout Aydinian,Ferdinando Cicalese,Christian Depp Book 2013 Spr

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978-3-642-36898-1Springer-Verlag Berlin Heidelberg 2013

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Multiple Objects: Error Exponents in Hypotheses Testing and IdentificationWe survey a series of investigations of optimal testing of multiple hypotheses concerning various multiobject models..These studies are a prominent instance of application of methods and techniques developed in Shannon information theory for solution of typical statistical problems.

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On Data Recovery in Distributed DatabasesWe present an approach for data encoding and recovery of lost information in a distributed database system. The dependencies between the informational redundancy of the database and its recovery rate are investigated, and fast recovery algorithms are developed.

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-Identification for Uniformly Distributed Sources and the ,-ary Identification Entropy of Second Ordbound. This lower bound contains the symmetric (1-)identification running time negatively signed so that (1-)identification entropy cannot be applied immediately. However, using the fact that the (1-)identification entropy is attained iff the probability distribution consists only of .-powers, we ca

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