文章基本信息

标题：A Note on the Nonparametric Estimation of the Conditional Mode by Wavelet Methods
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作者：Salim Bouzebda ; Christophe Chesneau
期刊名称：Stats
电子版ISSN：2571-905X
出版年度：2020
卷号：3
期号：4
页码：475-483
DOI：10.3390/stats3040030
出版社：MDPI AG
摘要：The purpose of this note is to introduce and investigate the nonparametric estimation of the conditional mode using wavelet methods. We propose a new linear wavelet estimator for this problem. The estimator is constructed by combining a specific ratio technique and an established wavelet estimation method. We obtain rates of almost sure convergence over compact subsets of Rd. A general estimator beyond the wavelet methodology is also proposed, discussing adaptivity within this statistical framework.