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ON ADAPTIVE INFERENCE AND CONFIDENCE BANDS

ON ADAPTIVE INFERENCE AND CONFIDENCE BANDS

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aos_1322663462

ON ADAPTIVE INFERENCE AND CONFIDENCE BANDS

About this item

Full title

ON ADAPTIVE INFERENCE AND CONFIDENCE BANDS

Author / Creator

Publisher

Cleveland, OH: Institute of Mathematical Statistics

Journal title

The Annals of statistics, 2011-10, Vol.39 (5), p.2383-2409

Language

English

Formats

Publication information

Publisher

Cleveland, OH: Institute of Mathematical Statistics

More information

Scope and Contents

Contents

The problem of existence of adaptive confidence bands for an unknown density f that belongs to a nested scale of Hölder classes over ℝ or [0, 1] is considered. Whereas honest adaptive inference in this problem is impossible already for a pair of Hölder balls Σ(r), Σ(5), r ≠ s, of fixed radius, a nonparametric distinguishability condition is introdu...

Alternative Titles

Full title

ON ADAPTIVE INFERENCE AND CONFIDENCE BANDS

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aos_1322663462

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aos_1322663462

Other Identifiers

ISSN

0090-5364

E-ISSN

2168-8966

DOI

10.1214/11-AOS903

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