Upper Bounds for Fisher information

Sergey G. Bobkov

doi:10.1214/22-EJP834

Upper Bounds for Fisher information

Sergey G. Bobkov

School of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Upper bounds are considered for the Fisher information of random vectors in terms of total variation and norms in Sobolev spaces. We also survey and refine a number of known results in this direction.

Original language	English (US)
Article number	115
Journal	Electronic Journal of Probability
Volume	27
DOIs	https://doi.org/10.1214/22-EJP834
State	Published - 2022

Bibliographical note

Funding Information:
*Research was partially supported by BSF grant 2016050 and NSF grant DMS-2154001 †School of Mathematics, University of Minnesota. E-mail: [email protected]

Publisher Copyright:
© 2022, Institute of Mathematical Statistics. All rights reserved.

Keywords

Fisher information
Sobolev spaces

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10.1214/22-EJP834

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title = "Upper Bounds for Fisher information",

abstract = "Upper bounds are considered for the Fisher information of random vectors in terms of total variation and norms in Sobolev spaces. We also survey and refine a number of known results in this direction.",

keywords = "Fisher information, Sobolev spaces",

author = "Bobkov, {Sergey G.}",

note = "Funding Information: *Research was partially supported by BSF grant 2016050 and NSF grant DMS-2154001 †School of Mathematics, University of Minnesota. E-mail: [email protected] Publisher Copyright: {\textcopyright} 2022, Institute of Mathematical Statistics. All rights reserved.",

year = "2022",

doi = "10.1214/22-EJP834",

language = "English (US)",

volume = "27",

journal = "Electronic Journal of Probability",

issn = "1083-6489",

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AU - Bobkov, Sergey G.

N1 - Funding Information: *Research was partially supported by BSF grant 2016050 and NSF grant DMS-2154001 †School of Mathematics, University of Minnesota. E-mail: [email protected] Publisher Copyright: © 2022, Institute of Mathematical Statistics. All rights reserved.

PY - 2022

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N2 - Upper bounds are considered for the Fisher information of random vectors in terms of total variation and norms in Sobolev spaces. We also survey and refine a number of known results in this direction.

AB - Upper bounds are considered for the Fisher information of random vectors in terms of total variation and norms in Sobolev spaces. We also survey and refine a number of known results in this direction.

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KW - Sobolev spaces

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U2 - 10.1214/22-EJP834

DO - 10.1214/22-EJP834

M3 - Article

AN - SCOPUS:85137352303

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VL - 27

JO - Electronic Journal of Probability

JF - Electronic Journal of Probability

M1 - 115

ER -

Upper Bounds for Fisher information

Abstract

Bibliographical note

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