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

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DC Field	Value	Language
dc.contributor.advisor	Behara, M.	-
dc.contributor.author	Singh, J. M.	-
dc.date.accessioned	2016-08-22T19:20:53Z	-
dc.date.available	2016-08-22T19:20:53Z	-
dc.date.issued	1971-09	-
dc.identifier.uri	http://hdl.handle.net/11375/20188	-
dc.description.abstract	<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>	en_US
dc.language.iso	en	en_US
dc.subject	Metrization	en_US
dc.subject	Conditional Entropies	en_US
dc.subject	sub-σ-algebras	en_US
dc.subject	probability distributions	en_US
dc.title	Metrization of Sets of Sub-σ-Algebras and their Conditional Entropies	en_US
dc.contributor.department	Mathematics	en_US
dc.description.degreetype	Thesis	en_US
dc.description.degree	Master of Science (MSc)	en_US
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