球面均匀性的立体测试

IF 0.9 4区数学 Q3 STATISTICS & PROBABILITY Statistics & Probability Letters Pub Date : 2024-07-24 DOI:10.1016/j.spl.2024.110218

Alberto Fernández-de-Marcos, Eduardo García-Portugués

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引用次数: 0

摘要

我们在立体投影的基础上引入了（超）球面数据的均匀性检验。利用格根鲍尔多项式导出了检验统计量的闭式表达式及其空渐近分布。提供了针对旋转对称局部替代方案的功率，并通过模拟说明了非空渐近结果。在观测值之间存在反向依赖关系的测试场景中，立体检验优于其他检验。

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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A stereographic test of spherical uniformity

We introduce a test of uniformity for (hyper)spherical data motivated by the stereographic projection. The closed-form expression of the test statistic and its null asymptotic distribution are derived using Gegenbauer polynomials. The power against rotationally symmetric local alternatives is provided, and simulations illustrate the non-null asymptotic results. The stereographic test outperforms other tests in a testing scenario with antipodal dependence between observations.

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来源期刊

Statistics & Probability Letters 数学-统计学与概率论

CiteScore

1.60

自引率

0.00%

发文量

173

审稿时长

6 months

期刊介绍： Statistics & Probability Letters adopts a novel and highly innovative approach to the publication of research findings in statistics and probability. It features concise articles, rapid publication and broad coverage of the statistics and probability literature. Statistics & Probability Letters is a refereed journal. Articles will be limited to six journal pages (13 double-space typed pages) including references and figures. Apart from the six-page limitation, originality, quality and clarity will be the criteria for choosing the material to be published in Statistics & Probability Letters. Every attempt will be made to provide the first review of a submitted manuscript within three months of submission. The proliferation of literature and long publication delays have made it difficult for researchers and practitioners to keep up with new developments outside of, or even within, their specialization. The aim of Statistics & Probability Letters is to help to alleviate this problem. Concise communications (letters) allow readers to quickly and easily digest large amounts of material and to stay up-to-date with developments in all areas of statistics and probability. The mainstream of Letters will focus on new statistical methods, theoretical results, and innovative applications of statistics and probability to other scientific disciplines. Key results and central ideas must be presented in a clear and concise manner. These results may be part of a larger study that the author will submit at a later time as a full length paper to SPL or to another journal. Theory and methodology may be published with proofs omitted, or only sketched, but only if sufficient support material is provided so that the findings can be verified. Empirical and computational results that are of significant value will be published.