A measure of mutual divergence among a number of probability distributions
The principle of optimality of dynamic programming is used to prove three major inequalities due to Shannon, Renyi and Holder. The inequalities are then used to obtain some useful results in information theory. In particular measures are obtained to measure the mutual divergence among two or more pr...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1987-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117128700070X |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850233092744151040 |
|---|---|
| author | J. N. Kapur Vinod Kumar Uma Kumar |
| author_facet | J. N. Kapur Vinod Kumar Uma Kumar |
| author_sort | J. N. Kapur |
| collection | DOAJ |
| description | The principle of optimality of dynamic programming is used to prove three
major inequalities due to Shannon, Renyi and Holder. The inequalities are then used to obtain some useful results in information theory. In particular measures are obtained to measure the mutual divergence among two or more probability distributions. |
| format | Article |
| id | doaj-art-05330c50a5bb4932a11af9253b9ca5b2 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1987-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-05330c50a5bb4932a11af9253b9ca5b22025-08-20T02:02:59ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251987-01-0110359760710.1155/S016117128700070XA measure of mutual divergence among a number of probability distributionsJ. N. Kapur0Vinod Kumar1Uma Kumar2Department of Mathematics, Indian Institute of Technology, New Delhi 110016, IndiaSchool of Business, Carleton University, Ottawa K1S 5B6, CanadaSchool of Business, Carleton University, Ottawa K1S 5B6, CanadaThe principle of optimality of dynamic programming is used to prove three major inequalities due to Shannon, Renyi and Holder. The inequalities are then used to obtain some useful results in information theory. In particular measures are obtained to measure the mutual divergence among two or more probability distributions.http://dx.doi.org/10.1155/S016117128700070Xdivergence measuresdynamic programmingShannonRenyi and Holder inequalities. |
| spellingShingle | J. N. Kapur Vinod Kumar Uma Kumar A measure of mutual divergence among a number of probability distributions International Journal of Mathematics and Mathematical Sciences divergence measures dynamic programming Shannon Renyi and Holder inequalities. |
| title | A measure of mutual divergence among a number of probability distributions |
| title_full | A measure of mutual divergence among a number of probability distributions |
| title_fullStr | A measure of mutual divergence among a number of probability distributions |
| title_full_unstemmed | A measure of mutual divergence among a number of probability distributions |
| title_short | A measure of mutual divergence among a number of probability distributions |
| title_sort | measure of mutual divergence among a number of probability distributions |
| topic | divergence measures dynamic programming Shannon Renyi and Holder inequalities. |
| url | http://dx.doi.org/10.1155/S016117128700070X |
| work_keys_str_mv | AT jnkapur ameasureofmutualdivergenceamonganumberofprobabilitydistributions AT vinodkumar ameasureofmutualdivergenceamonganumberofprobabilitydistributions AT umakumar ameasureofmutualdivergenceamonganumberofprobabilitydistributions AT jnkapur measureofmutualdivergenceamonganumberofprobabilitydistributions AT vinodkumar measureofmutualdivergenceamonganumberofprobabilitydistributions AT umakumar measureofmutualdivergenceamonganumberofprobabilitydistributions |