Improvement of Bobrovsky–Mayor–Wolf–Zakai Bound

This paper presents a difference-type lower bound for the Bayes risk as a difference-type extension of the Borovkov–Sakhanenko bound. The resulting bound asymptotically improves the Bobrovsky–Mayor–Wolf–Zakai bound which is difference-type extension of the Van Trees bound. Some examples are also giv...

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Autores principales: Koike, Ken-ichi, Hashimoto, Shintaro
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7912606/
https://www.ncbi.nlm.nih.gov/pubmed/33525685
http://dx.doi.org/10.3390/e23020161
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author Koike, Ken-ichi
Hashimoto, Shintaro
author_facet Koike, Ken-ichi
Hashimoto, Shintaro
author_sort Koike, Ken-ichi
collection PubMed
description This paper presents a difference-type lower bound for the Bayes risk as a difference-type extension of the Borovkov–Sakhanenko bound. The resulting bound asymptotically improves the Bobrovsky–Mayor–Wolf–Zakai bound which is difference-type extension of the Van Trees bound. Some examples are also given.
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spelling pubmed-79126062021-02-28 Improvement of Bobrovsky–Mayor–Wolf–Zakai Bound Koike, Ken-ichi Hashimoto, Shintaro Entropy (Basel) Article This paper presents a difference-type lower bound for the Bayes risk as a difference-type extension of the Borovkov–Sakhanenko bound. The resulting bound asymptotically improves the Bobrovsky–Mayor–Wolf–Zakai bound which is difference-type extension of the Van Trees bound. Some examples are also given. MDPI 2021-01-28 /pmc/articles/PMC7912606/ /pubmed/33525685 http://dx.doi.org/10.3390/e23020161 Text en © 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Koike, Ken-ichi
Hashimoto, Shintaro
Improvement of Bobrovsky–Mayor–Wolf–Zakai Bound
title Improvement of Bobrovsky–Mayor–Wolf–Zakai Bound
title_full Improvement of Bobrovsky–Mayor–Wolf–Zakai Bound
title_fullStr Improvement of Bobrovsky–Mayor–Wolf–Zakai Bound
title_full_unstemmed Improvement of Bobrovsky–Mayor–Wolf–Zakai Bound
title_short Improvement of Bobrovsky–Mayor–Wolf–Zakai Bound
title_sort improvement of bobrovsky–mayor–wolf–zakai bound
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7912606/
https://www.ncbi.nlm.nih.gov/pubmed/33525685
http://dx.doi.org/10.3390/e23020161
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