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Metrization of Sets of Sub-σ-Algebras and their Conditional Entropies

<p> This thesis deals with metrizations
of sets of conditional entropies and sets of sub-σ-algebras. G
Co Rajski's Theorem ([9]) on the metric space of discrete
probability distributions can be deduced as a particular
case of a theorem on the metric space of sub-σ-algebras
given in Chapter III, the proof of which is comparatively
very concise. The completeness of this metric space and
some other properties are also proved. </p> / Thesis / Master of Science (MSc)

Identiferoai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/20188
Date09 1900
CreatorsSingh, J. M.
ContributorsBehara, M., Mathematics
Source SetsMcMaster University
LanguageEnglish
Detected LanguageEnglish

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