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

Michael B. Pursley

Journal of Multivariate Analysis, 1977, vol. 7, issue 2, 286-291

Abstract: 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.

Keywords: Continuous-time; information; sources; information; theory; metric; space-valued; stochastic; processes; stationary; stochastic; processes; continuity; in; probability; continuity; in; the; sense; of; Pinsker (search for similar items in EconPapers)
Date: 1977
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