Certain approximations to achieve sharp lower and upper bounds for the Mills' ratio of the inverse Gaussian distribution

被引：4

作者：

Lu, Dawei ^{[1
,2
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116023, Peoples R China

[2] Chinese Univ Hong Kong, Dept Stat, Shatin, Hong Kong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 444卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Inverse Gaussian distribution; Completely monotonic functions; Inequality; Lower and upper bounds;

D O I：

10.1016/j.jmaa.2016.06.059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we prove new complete monotonicity properties of some functions associated with the inverse Gaussian distribution. Based on these properties, we present some lower and upper bounds with explicit expressions for the Mills' ratio of the inverse Gaussian distribution. Finally, for demonstrating the efficiency of our estimates, some numerical computations are provided. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：737 / 744

页数：8

共 50 条

[41] Sharp Upper and Lower Bounds for the Laplacian Spectral Radius and the Spectral Radius of Graphs
Ji-ming Guo Department of Applied Mathematics
Acta Mathematicae Applicatae Sinica, 2008, (02) : 289 - 296
[42] Sharp upper and lower bounds for the Laplacian spectral radius and the spectral radius of graphs
Guo, Ji-ming
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2008, 24 (02): : 289 - 296
[43] Sharp upper and lower bounds for the Laplacian spectral radius and the spectral radius of graphs
Ji-ming Guo
Acta Mathematicae Applicatae Sinica, English Series, 2008, 24 : 289 - 296
[44] Sharp Gaussian upper bounds for Schrodinger heat kernel on gradient shrinking Ricci solitons
Wu, Jia-Yong
MANUSCRIPTA MATHEMATICA, 2023, 172 (3-4) : 1109 - 1132
[45] Estimating Graph Edit Distance Using Lower and Upper Bounds of Bipartite Approximations
Riesen, Kaspar
Fischer, Andreas
Bunke, Horst
INTERNATIONAL JOURNAL OF PATTERN RECOGNITION AND ARTIFICIAL INTELLIGENCE, 2015, 29 (02)
[46] LOWER AND UPPER BOUNDS ON OPTIMAL FILTERING ERROR OF CERTAIN DIFFUSION PROCESSES
ZAKAI, M
ZIV, J
IEEE TRANSACTIONS ON INFORMATION THEORY, 1972, 18 (03) : 325 - +
[47] Upper and lower bounds for inverse elements of finite and infinite tridiagonal matrices
Shivakumar, PN
Ji, CX
LINEAR ALGEBRA AND ITS APPLICATIONS, 1996, 247 : 297 - 316
[48] Note constructing the confidence bounds of the failure rate for the inverse Gaussian distribution
Chang, Dong shang
Microelectronics Reliability, 1994, 34 (01) : 187 - 190
[49] Sharp Gaussian upper bounds for Schrödinger heat kernel on gradient shrinking Ricci solitons
Jia-Yong Wu
manuscripta mathematica, 2023, 172 : 1109 - 1132
[50] Sharp upper and lower bounds for the spectral radius of a nonnegative irreducible matrix and its applications
You, Lihua
Shu, Yujie
Yuan, Pingzhi
LINEAR & MULTILINEAR ALGEBRA, 2017, 65 (01): : 113 - 128

← 1 2 3 4 5 →