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Optimal cross-validation in density estimation with the $L^{2}$-loss

Optimal cross-validation in density estimation with the $L^{2}$-loss

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aos_1410440628

Optimal cross-validation in density estimation with the $L^{2}$-loss

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Full title

Optimal cross-validation in density estimation with the $L^{2}$-loss

Author / Creator

Publisher

The Institute of Mathematical Statistics

Journal title

The Annals of statistics, 2014-10, Vol.42 (5), p.1879-1910

Language

English

Formats

Publication information

Publisher

The Institute of Mathematical Statistics

More information

Scope and Contents

Contents

We analyze the performance of cross-validation (CV) in the density estimation framework with two purposes: (i) risk estimation and (ii) model selection. The main focus is given to the so-called leave-p-out CV procedure (Lpo), where p denotes the cardinality of the test set. Closed-form expressions are settled for the Lpo estimator of the risk of pr...

Alternative Titles

Full title

Optimal cross-validation in density estimation with the $L^{2}$-loss

Authors, Artists and Contributors

Author / Creator

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aos_1410440628

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aos_1410440628

Other Identifiers

ISSN

0090-5364

E-ISSN

2168-8966

DOI

10.1214/14-AOS1240

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