m-END样本密度函数最近邻估计量的一致性

IF 0.6 4区数学 Q4 STATISTICS & PROBABILITY

Brazilian Journal of Probability and Statistics Pub Date : 2022-06-01 DOI:10.1214/22-bjps530

Wei Wang, Yi Wu

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引用次数: 1

摘要

本文主要研究基于m-扩展负相关样本的密度函数最近邻估计量的一致性。在一些温和条件下，建立了弱一致性、强一致性、一致强一致性和收敛速度。本文的结果对文献中已有的一些结果进行了扩展和改进。

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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Consistency of nearest neighbor estimator of density function for m-END samples

In this paper, we mainly study the consistency of the nearest neighbor estimator of the density function based on m-extended negatively dependent samples. The weak consistency, strong consistency, uniformly strong consistency and the convergence rate are established under some mild conditions. The results obtained in this paper extend and improve some existing ones in the literature.

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来源期刊

Brazilian Journal of Probability and Statistics STATISTICS & PROBABILITY-

CiteScore

1.60

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Brazilian Journal of Probability and Statistics aims to publish high quality research papers in applied probability, applied statistics, computational statistics, mathematical statistics, probability theory and stochastic processes. More specifically, the following types of contributions will be considered: (i) Original articles dealing with methodological developments, comparison of competing techniques or their computational aspects. (ii) Original articles developing theoretical results. (iii) Articles that contain novel applications of existing methodologies to practical problems. For these papers the focus is in the importance and originality of the applied problem, as well as, applications of the best available methodologies to solve it. (iv) Survey articles containing a thorough coverage of topics of broad interest to probability and statistics. The journal will occasionally publish book reviews, invited papers and essays on the teaching of statistics.