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Divergence-type errors of smooth Barron-type density estimators.
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 ...
BB - Aplikovaná statistika, operační výzkum
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Asymptotics of f-divergence errors of some histogram-based density estimates
We are interested in the asymptotic properties of the Barron estimator if its error is measured by f-divergences with the true density for a general class of functions f. In quantized models leading to reduced f-divergences...
BA - Obecná matematika
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
Consistency of phi-Divergence Errors of Barron Density Estimates
of the Barron estimator if its error is measured by f-divergences with the true density for a general class of functions f. In quantized models leading to reduced f-divergences we provethe consistency of this estimator...
BB - Aplikovaná statistika, operační výzkum
- 2005 •
- D
Rok uplatnění
D - Stať ve sborníku
Performances of Modified Power Divergence Estimators in Normal Models of Location
Point estimators based on minimization of information-theoretic divergences of empirical distributions. In this case the phi-divergence is always equal to its upper bound and the minimum phi-divergence estimate...
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
Optimization of Barron density estimates.
We investigate a nonparametric estimator of probability density introduced.,in the expected information divergence or expected chi-square divergence. This paper pays main attention to the expected chi-square divergence<...
BD - Teorie informace
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Modified Power Divergence Estimators and Their Performances in Normal Models
-theoretic measures of divergence of probability measures cannot be directly applied in statistical estimation, since the divergence between the theoretical absolutely continuous studied and extended two different modificat...
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
A new class of metric divergences on probability spaces and its applicability in statistics.
, Hellinger divergence and information radius of Sibson are examples of divergences from this class. The remaining divergences seem to be new in the literature on this topic. An important applicability of these divergen...
BB - Aplikovaná statistika, operační výzkum
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Power subdivergence estimators in the normal model - PC simulation
We present the results of extensive simulation study of minimum divergence based estimators. Broniatowski and Vajda in [2] proposed several modifications of the minimum divergence rule to provide alternative maximum subdive...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Performances of Modified Power Divergence Estimators in Normal Models
Point estimators based on minimization of information-theoretic divergences of empirical distributions. In this case the phi-divergence is always equal to its upper bound and the minimum phi-divergence estimate...
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
MODIFIED POWER DIVERGENCE ESTIMATORS IN NORMAL MODEL- SIMULATION AND COMPARATIVE STUDY
Point estimators based on minimization of information-theoretic divergences of empirical distributions. In this case, the phi-divergence is always equal to its upper bound, and the minimum phi-divergence estima...
BA - Obecná matematika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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