A General Approach To Nonparametric Histogram Estimation
作者:
Pierre Jacob,
Paulo Eduardo Oliveira,
期刊:
Statistics
(Taylor Available online 1995)
卷期:
Volume 27,
issue 1-2
页码: 73-92
ISSN:0233-1888
年代: 1995
DOI:10.1080/02331889508802512
出版商: Gordon & Breach Science Publishers
关键词: AMS 1980 subject classifications;Primary 60D05;secondary 62M30
数据来源: Taylor
摘要:
We note that some classical functional estimation problems may be reduced to a general unique framework and study an estimator within this general framework that reduces to the classical histogram type estimators in various examples presented. The convergence in probability and the almost complete convergence of this general estimator are studied obtaining convergence conditions which reduce to the classical conditions in each case. Finally, this general framework provides conditions for the convergence of the finite dimensional distributions of the associated empirical process.
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