On the Convergence for Randomly Weighted Sums of Hilbert-valued Coordinatewise Pairwise NQD Random Variables

被引：0

作者：

Tran, Cuong Manh ^{[1
]}

Ta, Chien Van ^{[1
]}

Khanh, Hang Bui ^{[1
]}

机构：

[1] VNU Univ Sci, Fac Math Mech & Informat, 334 Nguyen Trai Str, Hanoi, Vietnam

来源：

ACTA MATHEMATICA VIETNAMICA | 2024年 / 49卷 / 02期

关键词：

Negative quadrant dependence; Hilbert spaces; Randomly weighted sums; Complete convergence; RANDOM VECTORS; LARGE NUMBERS; SURE CONVERGENCE; STRONG LAW; WEAK LAWS;

D O I：

10.1007/s40306-024-00537-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present the complete convergence for weighted sums of coordinatewise pairwise negative quadrant dependent random variables taking values in Hilbert spaces. As an application of the results, the complete convergence of degenerate von Mises statistics is investigated.

引用

页码：265 / 281

页数：17

共 20 条

[1]

Bingham N.H., 1987, Encyclopaedia of Mathematics and Its Applications, V27, DOI DOI 10.1017/CBO9780511721434

[2] SLOWLY VARYING FUNCTIONS AND ASYMPTOTIC RELATIONS [J].

BOJANIC, R ;

SENETA, E .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1971, 34 (02) :302-&

[3]

[陈平炎 Chen Pingyan], 2005, [数学物理学报. A辑, Acta Mathematica Scientia], V25, P386

[4]

Cîrstea FC, 2006, ASYMPTOTIC ANAL, V46, P275

[5] Bootstrap for dependent Hilbert space-valued random variables with application to von Mises statistics [J].

Dehling, Herold ;

Sharipov, Olimjon Sh. ;

Wendler, Martin .

JOURNAL OF MULTIVARIATE ANALYSIS, 2015, 133 :200-215

[6]

Le DV, 2019, J KOREAN MATH SOC, V56, P457

[7]

Gut A., 2013, SPRINGER TEXTS STAT, V75

[8] On the weak laws of large numbers for sums of negatively associated random vectors in Hilbert spaces [J].

Hien, N. T. T. ;

Thanh, L. V. .

STATISTICS & PROBABILITY LETTERS, 2015, 107 :236-245

[9] A note on the complete convergence for sequences of pairwise NQD random variables [J].

Huang, Haiwu ;

Wang, Dingcheng ;

Wu, Qunying ;

Zhang, Qingxia .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,

[10]

Jajte R, 2003, ANN PROBAB, V31, P409

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