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Equivalence of two notions of continuity for stationary continuous-time information sources


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  • Pursley, Michael B.
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    The notion of continuity for continuous-time information sources which was introduced by Pinsker has found numerous applications in information theory. Continuity in probability is an important concept in the theory of continuous-time stochastic processes. It is shown that these two forms of continuity are equivalent for stationary processes whose state space is a separable metric space.

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    Article provided by Elsevier in its journal Journal of Multivariate Analysis.

    Volume (Year): 7 (1977)
    Issue (Month): 2 (June)
    Pages: 286-291

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    Handle: RePEc:eee:jmvana:v:7:y:1977:i:2:p:286-291

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    Keywords: Continuous-time information sources information theory metric space-valued stochastic processes stationary stochastic processes continuity in probability continuity in the sense of Pinsker;


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