Divergence-type errors of smooth Barron-type density estimators
1.
SYSNO ASEP
0410829
Druh ASEP
J - Článek v odborném periodiku
Zařazení RIV
J - Článek v odborném periodiku
Poddruh J
Ostatní články
Název
Divergence-type errors of smooth Barron-type density estimators
Tvůrce(i)
Beirlant, J. (BE) Berlinet, A. (FR) Biau, G. (FR) Vajda, Igor (UTIA-B)
Zdroj.dok.
Test
Roč. 11, č. 1 (2002), s. 191-217
Poč.str.
27 s.
Jazyk dok.
eng - angličtina
Země vyd.
ES - Španělsko
Klíč. slova
Barron-type density estimators ; consistency in expected information divergence ; consistency in expected chi-squared-divergence
Vědní obor RIV
BB - Aplikovaná statistika, operační výzkum
CEP
GA102/99/1137 GA ČR - Grantová agentura ČR
CEZ
AV0Z1075907 - UTIA-B
Anotace
Barron-type estimators are histogram-based distribution estimators that have been proved to have good consistency properties according to several information theoretic criteria. However they are not continuous. In this paper, we examine a new type estimators with the frequency polygon. We prove the consistency of these estimators in expected information divergence and expected chi-squared-divergence. For one of them we evaluate the rate of convergence in expected chi-squared-divergence.
