DISCRETIZATION PROBLEMS ON GENERALIZED ENTROPIES AND R-DIVERGENCES

Authors
PARDO L MORALES D FERENTINOS K ZOGRAFOS K
Citation
L. Pardo et al., DISCRETIZATION PROBLEMS ON GENERALIZED ENTROPIES AND R-DIVERGENCES, Kybernetika, 30(4), 1994, pp. 445-460
Citations number
10
Categorie Soggetti
Controlo Theory & Cybernetics","Computer Science Cybernetics
Journal title
Kybernetika → ACNP
ISSN journal
00235954
Volume
30
Issue
4
Year of publication
1994
Pages
445 - 460
Database
ISI
SICI code
0023-5954(1994)30:4<445:DPOGEA>2.0.ZU;2-K
Abstract
In many practical applications, data about an unknown continuous distr ibution arise in a grouped form. For these cases, estimation of popula tion entropies and divergences must be done by means of their sample d iscretized estimates. In this paper, the problem of loss of informatio n due to the discretization of the data is studied for (h, phi)-entrop ies and R(phi)h-divergences. Quadratic convergence theorems are given and asymptotic distributions are obtained.