Glivenko-cantelli type theorems and their applications

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	Glivenko-cantelli type theorems and their applications
	Zhu LX(朱力行)
	1997
发表期刊	Acta Mathematica Scientia
ISSN	0252-9602
卷号	17 期号:3 页码:309
摘要	In this paper, we present a sufficient condition for uniform convergence of means to their expectations over the classes of real functions. Our proof is very simple via connecting this convergence to uniform convergence over the class of indicator functions. Furthermore, we obtain a convergent result concerning a non=VC class with an application to variable transformation for fitting regression model.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/46039
专题	中国科学院数学与系统科学研究院
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Zhu LX. Glivenko-cantelli type theorems and their applications[J]. Acta Mathematica Scientia,1997,17(3):309.
APA	朱力行.(1997).Glivenko-cantelli type theorems and their applications.Acta Mathematica Scientia,17(3),309.
MLA	朱力行."Glivenko-cantelli type theorems and their applications".Acta Mathematica Scientia 17.3(1997):309.