Metrization of Sets of Sub-σ-Algebras and their Conditional Entropies
| dc.contributor.advisor | Behara, M. | |
| dc.contributor.author | Singh, J. M. | |
| dc.contributor.department | Mathematics | en_US |
| dc.date.accessioned | 2016-08-22T19:20:53Z | |
| dc.date.available | 2016-08-22T19:20:53Z | |
| dc.date.issued | 1971-09 | |
| 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.description.degree | Master of Science (MSc) | en_US |
| dc.description.degreetype | Thesis | en_US |
| dc.identifier.uri | http://hdl.handle.net/11375/20188 | |
| 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 |