Some new results on Gaussian product inequalities

被引：4

作者：

Zhou, Qian-Qian ^{[1
]}

Zhao, Han ^{[2
]}

Hu, Ze-Chun ^{[2
]}

Song, Renming ^{[3
]}

机构：

[1] Nanjing Univ Posts & Telecommun, Sch Sci, Nanjing 210023, Peoples R China

[2] Sichuan Univ, Coll Math, Chengdu 610065, Peoples R China

[3] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 531卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Gaussian product inequality; Opposite Gaussian product; inequality; Gaussian hypergeometric function; VARIABLES;

D O I：

10.1016/j.jmaa.2023.127907

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The long-standing Gaussian product inequality (GPI) conjecture states that, for any centered Rn-valued Gaussian random vector (X1, ... , Xn) and any positive reals alpha 1, . . . , alpha n, E[pi nj=1 |Xj |alpha j] >= pi n j=1 E[|Xj|alpha j]. In this paper, we present some related inequalities for centered Rn-valued Gaussian random vector (X1, ... , Xn) when {alpha 1, . . . , alpha n} contains both positive and negative numbers.(c) 2023 Elsevier Inc. All rights reserved.

引用

页数：13

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