A unified approach to goodness-of-fit testing for spherical and hyperspherical data

IF 1.2 3区数学 Q2 STATISTICS & PROBABILITY

Statistical Papers Pub Date : 2024-02-26 DOI:10.1007/s00362-024-01529-1

Bruno Ebner, Norbert Henze, Simos Meintanis

引用次数: 0

Abstract

We propose a general and relatively simple method to construct goodness-of-fit tests on the sphere and the hypersphere. The method is based on the characterization of probability distributions via their characteristic function, and it leads to test criteria that are convenient regarding applications and consistent against arbitrary deviations from the model under test. We emphasize goodness-of-fit tests for spherical distributions due to their importance in applications and the relative scarcity of available methods.

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球形和超球形数据拟合优度测试的统一方法

我们提出了一种在球面和超球面上构建拟合优度检验的通用而相对简单的方法。该方法基于通过概率分布的特征函数对概率分布进行表征，得出的检验标准既便于应用，又能与被检验模型的任意偏差保持一致。我们强调球面分布的拟合优度检验，因为它们在应用中非常重要，而且可用的方法相对较少。

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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来源期刊

Statistical Papers 数学-统计学与概率论

CiteScore

2.80

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal Statistical Papers addresses itself to all persons and organizations that have to deal with statistical methods in their own field of work. It attempts to provide a forum for the presentation and critical assessment of statistical methods, in particular for the discussion of their methodological foundations as well as their potential applications. Methods that have broad applications will be preferred. However, special attention is given to those statistical methods which are relevant to the economic and social sciences. In addition to original research papers, readers will find survey articles, short notes, reports on statistical software, problem section, and book reviews.