COMPLETE MOMENT CONVERGENCE FOR WEIGHTED SUMS OF EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES

被引：2

作者：

Ge, Meimei ^{[1
]}

Deng, Xin ^{[1
]}

机构：

[1] Chuzhou Univ, Sch Math & Finance, Chuzhou 239000, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2019年 / 13卷 / 01期

关键词：

Extended negatively dependent random variables; weighted sums; complete moment convergence; PRECISE LARGE DEVIATIONS; ARRAYS;

D O I：

10.7153/jmi-2019-13-12

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some results on complete moment convergence for weighted sums of extended negatively dependent (END, for short) random variables are established. The results extend and improve the result of Baum and Katz (1965) from complete convergence for non-weighted sums of independent random variables to the case of weighted sums of END random variables under mild conditions.

引用

页码：159 / 175

页数：17

共 27 条

[1] CONVERGENCE RATES IN LAW OF LARGE NUMBERS [J].

BAUM, LE ;

KATZ, M .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 120 (01) :108-&

[2] Precise Large Deviations of Random Sums in Presence of Negative Dependence and Consistent Variation [J].

Chen, Yiqing ;

Yuen, Kam C. ;

Ng, Kai W. .

METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2011, 13 (04) :821-833

[3]

CHOW Y. S., 1973, ACAD SINICA, V1, P207

[4]

Chow YS., 1988, Bull Inst Math Acad Sinica, V16, P177

[5] ON A THEOREM OF HSU AND ROBBINS [J].

ERDOS, P .

ANNALS OF MATHEMATICAL STATISTICS, 1949, 20 (02) :286-291

[6] Equivalent conditions of complete moment convergence of weighted sums for ρ*-mixing sequence of random variables [J].

Guo, Mingle ;

Zhu, Dongjin .

STATISTICS & PROBABILITY LETTERS, 2013, 83 (01) :13-20

[7]

Gut A., 1992, Period. Math. Hungar, V25, P51, DOI [10.1007/BF02454383, DOI 10.1007/BF02454383]

[8] COMPLETE CONVERGENCE AND THE LAW OF LARGE NUMBERS [J].

HSU, PL ;

ROBBINS, H .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1947, 33 (02) :25-31

[9]

Hu T.Z., 2000, CHIN J APPL PROBAB S, V16, P133

[10] NEGATIVE ASSOCIATION OF RANDOM-VARIABLES, WITH APPLICATIONS [J].

JOAGDEV, K ;

PROSCHAN, F .

ANNALS OF STATISTICS, 1983, 11 (01) :286-295

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