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Boolean algebraic methods in Markov chains

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Probability and Information Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 89))

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Abstract

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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References

  1. Hammer, P. L. and Rudeanu, S. Boolean Methods in Operations Research, Springer-Verlag, Heidelberg, New York.

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  2. Derman, C. Unpublished Lecture Notes on Stochastic Processes, Columbia University, 1968.

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M. Behara K. Krickeberg J. Wolfowitz

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© 1969 Springer-Verlag

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Barahamihir, M., Behara, D. (1969). Boolean algebraic methods in Markov chains. In: Behara, M., Krickeberg, K., Wolfowitz, J. (eds) Probability and Information Theory. Lecture Notes in Mathematics, vol 89. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079116

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  • DOI: https://doi.org/10.1007/BFb0079116

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04608-0

  • Online ISBN: 978-3-540-36098-8

  • eBook Packages: Springer Book Archive

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