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Ergodicity and extremality of AMS sources and channels

Yûichirô Kakihara

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-16

Abstract:

Asymptotically mean stationary (AMS) sources (probability measures) and channels are considered as an extension of stationary sources and channels. It is shown that each extreme point of the set of all AMS sources is ergodic, but not vice versa, and that each extreme point in the set of all AMS channels is ergodic, but not vice versa.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:143476

DOI: 10.1155/S0161171203012250

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