强混合条件下有偏非参数回归函数的小波估计器的强一致性

IF 1.1 3区数学 Q1 MATHEMATICS

Results in Mathematics Pub Date : 2024-08-03 DOI:10.1007/s00025-024-02248-7

Yuncai Yu

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引用次数: 0

摘要

本文主要研究强混合条件下基于有偏样本的非参数回归模型中的函数估计问题。我们利用小波核提出了一种小波估计器，并研究了小波估计器的一致性特性。得到了平均一致性、强一致性和收敛率，即使存在偏差和强混合依赖，其收敛率与标准非参数模型中的小波估计器收敛率相似。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Strong Consistency of Wavelet Estimator for Biased Nonparametric Regression Function Under Strong Mixing

This paper focuses on the function estimation problem in nonparametric regression model based on biased samples under strong mixing. We propose a wavelet estimator by using wavelet kernel and investigate the consistency properties of the wavelet estimator. The mean consistency, strong consistency and convergence rate are obtained and the convergence rate is similar as that of wavelet estimator in the standard nonparametric model even although with the presence of bias and strong mixing dependence.

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来源期刊

Results in Mathematics 数学-数学

CiteScore

1.90

自引率

4.50%

发文量

198

审稿时长

6-12 weeks

期刊介绍： Results in Mathematics (RM) publishes mainly research papers in all fields of pure and applied mathematics. In addition, it publishes summaries of any mathematical field and surveys of any mathematical subject provided they are designed to advance some recent mathematical development.