Complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence
被引:3
作者:
Ma, Huanhuan
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机构:
Henan Normal Univ, Coll Math & Informat Sci, Xinxiang, Peoples R ChinaHenan Normal Univ, Coll Math & Informat Sci, Xinxiang, Peoples R China
Ma, Huanhuan
[1
]
Sun, Yan
论文数: 0引用数: 0
h-index: 0
机构:
Beijing Informat Sci & Technol Univ, Coll Sci, Beijing, Peoples R ChinaHenan Normal Univ, Coll Math & Informat Sci, Xinxiang, Peoples R China
Sun, Yan
[2
]
机构:
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang, Peoples R China
[2] Beijing Informat Sci & Technol Univ, Coll Sci, Beijing, Peoples R China
来源:
JOURNAL OF INEQUALITIES AND APPLICATIONS
|
2018年
基金:
中国国家自然科学基金;
关键词:
Martingale difference sequence;
Complete convergence;
Complete moment convergence;
Randomly weighted sums;
LARGE NUMBERS;
RANDOM-VARIABLES;
STRONG LAW;
D O I:
10.1186/s13660-018-1770-3
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In this paper, we extend some known results about complete convergence and establish the complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence. Our results can generalize some conclusions related to Hsu-Robbins-Erdos strong laws and Baum-Katz type theorems for martingales.
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页数:16
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[1]
BAI ZD, 1985, SCI SIN A-MATH P A T, V28, P1261
机构:
Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan Province, Peoples R ChinaHenan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan Province, Peoples R China
Miao, Yu
Yang, Guangyu
论文数: 0引用数: 0
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机构:
Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan Province, Peoples R ChinaHenan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan Province, Peoples R China
Yang, Guangyu
Stoica, George
论文数: 0引用数: 0
h-index: 0
机构:
Univ New Brunswick, Dept Math Sci, St John, NB E2L 4L5, CanadaHenan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan Province, Peoples R China
机构:
Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan Province, Peoples R ChinaHenan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan Province, Peoples R China
Miao, Yu
Yang, Guangyu
论文数: 0引用数: 0
h-index: 0
机构:
Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan Province, Peoples R ChinaHenan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan Province, Peoples R China
Yang, Guangyu
Stoica, George
论文数: 0引用数: 0
h-index: 0
机构:
Univ New Brunswick, Dept Math Sci, St John, NB E2L 4L5, CanadaHenan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan Province, Peoples R China