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On the asymptotic normality of functions of uniform spacings

 

作者: J. Beirlant,   P. Janssen,   N. Veraverbeke,  

 

期刊: Canadian Journal of Statistics  （WILEY Available online 1991）
卷期: Volume 19, issue 1  

页码: 93-101

 

ISSN:0319-5724

 

年代: 1991

 

DOI:10.2307/3315539

 

出版商: Wiley‐Blackwell

 

关键词: Uniform spacings;central limit theorem;asymptotic normality

 

数据来源: WILEY

 

摘要:

AbstractA new proof is given for the asymptotic normality of sum functions of spacings, providing an alternative to the method of Le Cam (1958). The result is obtained under an optimal moment condition. The proof is based on a simple decomposition into a leading term, which is asymptotically normal, and a remainder term, which is shown to be negligible.

 

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