The laws of large numbers for some general random variables with infinite means
被引:0
作者:
Zhang, Zhiyang
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机构:
Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R ChinaHenan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
Zhang, Zhiyang
[1
]
Chen, Yingxia
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机构:
Pingdingshan Univ, Sch Math & Stat, Pingdingshan, Henan, Peoples R ChinaHenan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
Chen, Yingxia
[2
]
Miao, Yu
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机构:
Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
Henan Normal Univ, Henan Engn Lab Big Data Stat Anal & Optimal Contro, Xinxiang, Henan, Peoples R ChinaHenan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
Miao, Yu
[1
,3
]
机构:
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
[2] Pingdingshan Univ, Sch Math & Stat, Pingdingshan, Henan, Peoples R China
[3] Henan Normal Univ, Henan Engn Lab Big Data Stat Anal & Optimal Contro, Xinxiang, Henan, Peoples R China
Burr distribution;
Exact laws of large numbers;
i.i.d. random variables;
Ratios;
LIMIT-THEOREMS;
ORDER-STATISTICS;
RATIOS;
DISTRIBUTIONS;
SYSTEM;
D O I:
10.1080/03610918.2024.2424479
中图分类号:
O21 [概率论与数理统计];
C8 [统计学];
学科分类号:
020208 ;
070103 ;
0714 ;
摘要:
In the present paper, the exact laws of large numbers for weighted sums of some general random variables, which include the Burr type distribution, are established. As applications, we discuss the exact laws for ratios of random variable and order statistics.
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
Xu, Wenfei
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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
Xu, Wenfei
Chen, Shanshan
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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
Chen, Shanshan
Adler, Andre
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机构:
IIT, Dept Appl Math, Chicago, IL 60657 USAHenan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan Province, Peoples R China
Adler, Andre
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES,
2014,
124
(03):
: 447
-
456
机构:
Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R ChinaChongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R China
Yuan, Demei
Li, Shunjing
论文数: 0引用数: 0
h-index: 0
机构:
Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R ChinaChongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R China
Li, Shunjing
Tao, Bao
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h-index: 0
机构:
Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R ChinaChongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R China
机构:
Cent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China
Li, Bo
Zhang, Huiming
论文数: 0引用数: 0
h-index: 0
机构:
Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
Peking Univ, Ctr Stat Sci, Beijing, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China
Zhang, Huiming
He, Jiao
论文数: 0引用数: 0
h-index: 0
机构:
Cent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China