基于ANA误差的非随机设计非参数回归模型中小波估计量的Berry-Esseen界

IF 0.6 4区数学 Q4 STATISTICS & PROBABILITY Esaim-Probability and Statistics Pub Date : 2020-01-01 DOI:10.1051/PS/2019017

Xu-fei Tang, Xuejun Wang, Yi Wu, Fei Zhang

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引用次数: 1

摘要

考虑非参数回归模型Y ni = g (t ni) + e i, i = 1,2，…，n, n≥1，其中e i, 1≤i≤n为渐近负相关(简称ANA)随机变量。在一定条件下，建立了g(⋅)的小波估计量的Berry-Esseen界。此外，本文还进行了数值模拟。本文所得结果推广了文献中相应的结果。

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The Berry-Esseen bound of a wavelet estimator in non-randomly designed nonparametric regression model based on ANA errors

Consider the nonparametric regression model Y ni = g (t ni ) + e i , i = 1, 2, …, n , n ≥ 1, where e i , 1 ≤ i ≤ n , are asymptotically negatively associated (ANA, for short) random variables. Under some appropriate conditions, the Berry-Esseen bound of the wavelet estimator of g (⋅) is established. In addition, some numerical simulations are provided in this paper. The results obtained in this paper generalize some corresponding ones in the literature.

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来源期刊

Esaim-Probability and Statistics STATISTICS & PROBABILITY-

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal publishes original research and survey papers in the area of Probability and Statistics. It covers theoretical and practical aspects, in any field of these domains. Of particular interest are methodological developments with application in other scientific areas, for example Biology and Genetics, Information Theory, Finance, Bioinformatics, Random structures and Random graphs, Econometrics, Physics. Long papers are very welcome. Indeed, we intend to develop the journal in the direction of applications and to open it to various fields where random mathematical modelling is important. In particular we will call (survey) papers in these areas, in order to make the random community aware of important problems of both theoretical and practical interest. We all know that many recent fascinating developments in Probability and Statistics are coming from "the outside" and we think that ESAIM: P&S should be a good entry point for such exchanges. Of course this does not mean that the journal will be only devoted to practical aspects.