WEAK LAWS OF LARGE NUMBERS FOR WEIGHTED COORDINATEWISE PAIRWISE NQD RANDOM VECTORS IN HILBERT SPACES

被引：7
|
作者：
Dung Van Le [1 ]
Son Cong Ta [2 ]
Cuong Manh Tran [2 ]
机构：
[1] Univ Sci & Educ, Univ Da Nang, Dept Math, 459 Ton Duc Thang, Da Nang, Vietnam
[2] VNU Hanoi Univ Sci, Fac Math Mech & Informat, 334 NguyenTrai, Hanoi, Vietnam
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2019年 / 56卷 / 02期
关键词：
infinite moments; weak law of large numbers; coordinatewise pairwise NQD random vectors; Hilbert spaces; weighted sums; RANDOM-VARIABLES; SURE CONVERGENCE; SEQUENCES; THEOREMS;
D O I：
10.4134/JKMS.j180217
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate weak laws of large numbers for weighted coordinatewise pairwise negative quadrant dependence random vectors in Hilbert spaces in the case that the decay order of tail probability is r for some 0 < r < 2. Moreover, we extend results concerning Pareto-Zipf distributions and St. Petersburg game.
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页码：457 / 473
页数：17
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