Consistency of phi-Divergence Errors of Barron Density Estimates
Result description
In this contribution 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 we provethe consistency of this estimator in the reduced f-divergence and in the expected reduced f-divergence. Further, we formulate conditions under which it is possible to extend the obtained results also to the original non-quantized models. Our conditions and results are then compared with those of Berlinet et al. (1998).
Keywords
Histogram estimateBarron density estimatedivergencesconsistency
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Consistency of phi-Divergence Errors of Barron Density Estimates
Original language description
In this contribution 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 we provethe consistency of this estimator in the reduced f-divergence and in the expected reduced f-divergence. Further, we formulate conditions under which it is possible to extend the obtained results also to the original non-quantized models. Our conditions and results are then compared with those of Berlinet et al. (1998).
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2005
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of the 6th International PhD Workshop on Systems and Control a Yang Generation Viewpoint
ISBN
961-6303-74-0
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
1-6
Publisher name
Jozef Stefan Institute
Place of publication
Ljubjana
Event location
Izola-Simon zaliv
Event date
Oct 4, 2005
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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Basic information
Result type
D - Article in proceedings
CEP
BB - Applied statistics, operational research
Year of implementation
2005