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On Qualitative Smoothness of Kernel Density Estimates1

 

作者: E. Mammen,  

 

期刊: Statistics  （Taylor Available online 1995）
卷期: Volume 26, issue 3  

页码: 253-267

 

ISSN:0233-1888

 

年代: 1995

 

DOI:10.1080/02331889508802494

 

出版商: Gordon & Breach Science Publishers

 

关键词: AMS 1991 subject classification;62G05;62J06;Modality;inflection points;smoothness;density estimation;kernel estimator

 

数据来源: Taylor

 

摘要:

In this paper we give asymptotic expansions for the expected number of local extremes and inflection points of kernel density estimates. We argue that these numbers can be used as an indicator for the “qualitative” smoothness of the density estimate.

 

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