| Texto completo | |
| Autor(es): |
Suhov, Yuri
;
Stuhl, Izabella
;
Sekeh, Salimeh Yasaei
;
Kelbert, Mark
Número total de Autores: 4
|
| Tipo de documento: | Artigo Científico |
| Fonte: | AEQUATIONES MATHEMATICAE; v. 90, n. 4, p. 817-848, AUG 2016. |
| Citações Web of Science: | 6 |
| Resumo | |
The concept of weighted entropy takes into account values of different outcomes, i.e., makes entropy context-dependent, through the weight function. In this paper, we establish a number of simple inequalities for the weighted entropies (general as well as specific), mirroring similar bounds on standard (Shannon) entropies and related quantities. The required assumptions are written in terms of various expectations of weight functions. Examples are weighted Ky Fan and weighted Hadamard inequalities involving determinants of positive-definite matrices, and weighted Cram,r-Rao inequalities involving the weighted Fisher information matrix. (AU) | |
| Processo FAPESP: | 11/51845-5 - Loopos analíticos, finitos e quasi-grupos |
| Beneficiário: | Izabella Stuhl |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |