用综合等级分数检验轴对称性

IF 0.8 4区 数学 Q3 STATISTICS & PROBABILITY
Š. Hudecová, M. Siman
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引用次数: 0

摘要

本文解决了最近出现的检验轴对称到位移的推理问题,这甚至对检验交换性、独立性、拟合优度或尺度相等的某些假设也很有用。特别地,它引入了一种新的基于定向分位数回归的综合等级分数的轴对称检验。该测试在尺寸、功率、鲁棒性、力矩条件或计算可行性方面优于现有的竞争对手。所有这些都用一系列的模拟例子来说明。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Testing axial symmetry by means of integrated rank scores
The article addresses the recently emerging inferential problem of testing axial symmetry up to a shift, which is useful even for testing certain hypotheses of exchangeability, independence, goodness-of-fit or equality of scale. In particular, it introduces a new test of axial symmetry based on integrated rank scores for directional quantile regression. The test outperforms existing competitors in terms of size, power, robustness, moment conditions or computational feasibility. All that is illustrated with a series of simulated examples.
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来源期刊
Journal of Nonparametric Statistics
Journal of Nonparametric Statistics 数学-统计学与概率论
CiteScore
1.50
自引率
8.30%
发文量
42
审稿时长
6-12 weeks
期刊介绍: Journal of Nonparametric Statistics provides a medium for the publication of research and survey work in nonparametric statistics and related areas. The scope includes, but is not limited to the following topics: Nonparametric modeling, Nonparametric function estimation, Rank and other robust and distribution-free procedures, Resampling methods, Lack-of-fit testing, Multivariate analysis, Inference with high-dimensional data, Dimension reduction and variable selection, Methods for errors in variables, missing, censored, and other incomplete data structures, Inference of stochastic processes, Sample surveys, Time series analysis, Longitudinal and functional data analysis, Nonparametric Bayes methods and decision procedures, Semiparametric models and procedures, Statistical methods for imaging and tomography, Statistical inverse problems, Financial statistics and econometrics, Bioinformatics and comparative genomics, Statistical algorithms and machine learning. Both the theory and applications of nonparametric statistics are covered in the journal. Research applying nonparametric methods to medicine, engineering, technology, science and humanities is welcomed, provided the novelty and quality level are of the highest order. Authors are encouraged to submit supplementary technical arguments, computer code, data analysed in the paper or any additional information for online publication along with the published paper.
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