Titlebook: Probability and Information Theory; Proceedings of the I M. Behara,K. Krickeberg,J. Wolfowitz Conference proceedings 1969 Springer-Verlag B

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Asymptotic behaviour of the average probability of error for low rates of information transmission,, the results can be easily extended to the case of a general discrete memoryless channel. Some results of Dobrushin are simplified and extended. Properties of the function occuring in the asymptotic expression are discussed. Concurrent with this research, similar results though generalized have been published by Shannon, Gallager and Berlekamp.

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0075-8434 Overview: 978-3-540-04608-0978-3-540-36098-8Series ISSN 0075-8434 Series E-ISSN 1617-9692

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Boolean algebraic methods in Markov chains,Classification of the state space of finite-dimensional Markov chains (discrete time parameter) is considered using classical algebraic techniques and Boolean algebraic methods..The validity of using Boolean methods is shown. Computational procedures for such classification using both the methods are illustrated by some examples and compared.

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Convergence in probability and allied results,Let (X,S,P) be a probability space, a d f, f., n=1,2,... real random variables. Let x be any continuity point of f with respect to P., i. e. P(f=x)=0. Let E. and E. denote the sets f.(?∞,x] and f.(?∞, x] respectively. The indicator of any set A will be denoted by I..

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Remarks and Comparative Studies, rarely be found “off-the-shelf”. Their requirements always include some outstanding features in rotational frequency, power-density, working point, or geometry. These specialities make it necessary and helpful for users to be aware of the capabilities and possibilities for modifying existing actuat