Inequalities for characteristic functions of multidimensional distributions

被引：0

作者：

Rao, B. L. S. Prakasa ^{[1
]}

机构：

[1] Univ Hyderabad, Dept Math & Stat, Hyderabad 500046, Andhra Pradesh, India

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 343卷 / 01期

关键词：

characteristic function; multivariate distribution; upper bound; lower bound; probability measure; Hilbert space;

D O I：

10.1016/j.jmaa.2008.01.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain lower and upper bounds for the absolute values of characteristic functions of multivariate distributions F and also derive a lower bound on the norm of the zeroes of a characteristic function in terms of moments of the norm of the random vector with distribution F. Similar results are obtained for characteristic functions of probability measures on a separable Hilbert space. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：22 / 30

页数：9

共 50 条

[21] PROBABILITY DISTRIBUTIONS AND ENTIRE CHARACTERISTIC FUNCTIONS
SHAH, SM
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (01): : A123 - A123
[22] COMPUTABILITY OF PROBABILITY DISTRIBUTIONS AND CHARACTERISTIC FUNCTIONS
Mori, Takakazu
Tsujii, Yoshiki
Yasugi, Mariko
[J]. LOGICAL METHODS IN COMPUTER SCIENCE, 2013, 9 (03)
[23] On the characteristic functions for extreme value distributions
Saralees Nadarajah
Tibor K. Pogány
[J]. Extremes, 2013, 16 : 27 - 38
[24] CHARACTERIZATION AND CHARACTERISTIC FUNCTIONS OF DIRICHLET DISTRIBUTIONS
YASAIMAI.H
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1970, 41 (05): : 1802 - &
[25] Some inequalities for characteristic functions. II
Hu, Chin-Yuan
Lin, Gwo Dong
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 328 (01) : 201 - 219
[26] ON THE STRONG-CONVERGENCE OF DISTRIBUTIONS OF MULTIDIMENSIONAL FUNCTIONS
MARTYNOVA, GV
[J]. VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA, 1987, (02): : 123 - 124
[27] Inequalities for characteristic functions involving Fisher information
Zhang, Zhengmin
[J]. COMPTES RENDUS MATHEMATIQUE, 2007, 344 (05) : 327 - 330
[28] Sharp weighted multidimensional integral inequalities for monotone functions
Barza, S
Persson, LE
Soria, J
[J]. MATHEMATISCHE NACHRICHTEN, 2000, 210 : 43 - 58
[29] Multidimensional reversed Hardy type inequalities for monotone functions
Butt, Saad Ihsan
Pecaric, Josip
Peric, Ivan
Praljak, Marjan
[J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2014, 7 (04)
[30] NEVANLINNA CHARACTERISTIC AND INTEGRAL INEQUALITIES WITH MAXIMAL RADIAL CHARACTERISTIC FOR MEROMORPHIC FUNCTIONS AND FOR DIFFERENCES OF SUBHARMONIC FUNCTIONS
Khabibullin, B. N.
[J]. ST PETERSBURG MATHEMATICAL JOURNAL, 2023, 34 (02) : 247 - 270

← 1 2 3 4 5 →