Extension of a strong form of the three-dimensional Gaussian product inequality

Bara Kim; Jeongsim Kim

doi:10.1016/j.spl.2024.110276

Extension of a strong form of the three-dimensional Gaussian product inequality

Bara Kim, Jeongsim Kim

Department of Mathematics

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

1 Citation (Scopus)

Abstract

We generalize a strong form of the three-dimensional Gaussian product inequality studied by Herry et al. (2024), who resolved the case of any triple of even positive integers. We extend the result to any triple consisting of a pair of positive real numbers and an even positive integer. Our result includes all existing results on the three-dimensional Gaussian product inequality conjecture.

Original language	English
Article number	110276
Journal	Statistics and Probability Letters
Volume	216
DOIs	https://doi.org/10.1016/j.spl.2024.110276
Publication status	Published - 2025 Jan

Bibliographical note

Publisher Copyright:
© 2024 Elsevier B.V.

Keywords

Covariance matrix
Gaussian product inequality
Gaussian random vector

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

Access to Document

10.1016/j.spl.2024.110276

Cite this

@article{293f8422ee6f4444a84c6037b1b5b02e,

title = "Extension of a strong form of the three-dimensional Gaussian product inequality",

abstract = "We generalize a strong form of the three-dimensional Gaussian product inequality studied by Herry et al. (2024), who resolved the case of any triple of even positive integers. We extend the result to any triple consisting of a pair of positive real numbers and an even positive integer. Our result includes all existing results on the three-dimensional Gaussian product inequality conjecture.",

keywords = "Covariance matrix, Gaussian product inequality, Gaussian random vector",

author = "Bara Kim and Jeongsim Kim",

note = "Publisher Copyright: {\textcopyright} 2024 Elsevier B.V.",

year = "2025",

month = jan,

doi = "10.1016/j.spl.2024.110276",

language = "English",

volume = "216",

journal = "Statistics and Probability Letters",

issn = "0167-7152",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Extension of a strong form of the three-dimensional Gaussian product inequality

AU - Kim, Bara

AU - Kim, Jeongsim

PY - 2025/1

Y1 - 2025/1

N2 - We generalize a strong form of the three-dimensional Gaussian product inequality studied by Herry et al. (2024), who resolved the case of any triple of even positive integers. We extend the result to any triple consisting of a pair of positive real numbers and an even positive integer. Our result includes all existing results on the three-dimensional Gaussian product inequality conjecture.

AB - We generalize a strong form of the three-dimensional Gaussian product inequality studied by Herry et al. (2024), who resolved the case of any triple of even positive integers. We extend the result to any triple consisting of a pair of positive real numbers and an even positive integer. Our result includes all existing results on the three-dimensional Gaussian product inequality conjecture.

KW - Covariance matrix

KW - Gaussian product inequality

KW - Gaussian random vector

UR - http://www.scopus.com/inward/record.url?scp=85204222895&partnerID=8YFLogxK

U2 - 10.1016/j.spl.2024.110276

DO - 10.1016/j.spl.2024.110276

M3 - Article

AN - SCOPUS:85204222895

SN - 0167-7152

VL - 216

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

M1 - 110276

ER -

Extension of a strong form of the three-dimensional Gaussian product inequality

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this