Institute of Information Theory and Automation

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Bibliography

Journal Article

Divergence-type errors of smooth Barron-type density estimators

Beirlant J., Berlinet A., Biau G., Vajda Igor

: Test vol.11, 1 (2002), p. 191-217

: CEZ:AV0Z1075907

: GA102/99/1137, GA ČR

: Barron-type density estimators, consistency in expected information divergence, consistency in expected chi-squared-divergence

(eng): 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.

: 12B

: BB

2019-01-07 08:39