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Convergence rate of the normal approximation for sequential estimators of a probability density and its derivatives

 

作者: Eiichi Isogai,  

 

期刊: Sequential Analysis  （Taylor Available online 1994）
卷期: Volume 13, issue 2  

页码: 145-161

 

ISSN:0747-4946

 

年代: 1994

 

DOI:10.1080/07474949408836300

 

出版商: Marcel Dekker, Inc.

 

关键词: convergence rate of normal approximation;nonparametric density function;derivatives of a density;kernel-type recursive estimators;sequential estimators

 

数据来源: Taylor

 

摘要:

Menon et al. (1984) proposed the kernel-type recursive estimators of a density and its derivatives, based on a fixed number of observations. We extend the estimators to the case where the sample size is random. Convergence rates of the normal approximation for the kernel-type sequential estimators are studied.

 

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