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http://hdl.handle.net/11375/20188| Title: | Metrization of Sets of Sub-σ-Algebras and their Conditional Entropies |
| Authors: | Singh, J. M. |
| Advisor: | Behara, M. |
| Department: | Mathematics |
| Keywords: | Metrization;Conditional Entropies;sub-σ-algebras;probability distributions |
| Publication Date: | Sep-1971 |
| 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> |
| URI: | http://hdl.handle.net/11375/20188 |
| Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Singh_J_M_1971Sept_Masters.pdf | 1.08 MB | Adobe PDF | View/Open |
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