almost sure convergence;
bootstrap sample mean;
convergence in probability;
weak law of large numbers;
D O I:
10.1081/SAP-200064490
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
For bootstrap sample means resulting from a sequence {X-n, n >= 1} of random variables, very general weak laws of large numbers are established. The random variables {X-n, n >= 1} do not need to be independent or identically distributed or be of any particular dependence structure. In general, no moment conditions are imposed on the {X-n, n >= 1}. Examples are provided that illustrate the sharpness of the main results.
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
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
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
机构:
Univ Zaragoza, Fac Ciencias, Dpto Metodos Estadist, C Pedro Cerbuna 12, E-50009 Zaragoza, SpainUniv Zaragoza, Fac Ciencias, Dpto Metodos Estadist, C Pedro Cerbuna 12, E-50009 Zaragoza, Spain
Lopez, F. Javier
Sanz, Gerardo
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机构:
Univ Zaragoza, Fac Ciencias, Dpto Metodos Estadist, C Pedro Cerbuna 12, E-50009 Zaragoza, SpainUniv Zaragoza, Fac Ciencias, Dpto Metodos Estadist, C Pedro Cerbuna 12, E-50009 Zaragoza, Spain