Local influence diagnostics in elliptical multilevel models.

IF 1.1 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES

Anais da Academia Brasileira de Ciencias Pub Date : 2025-05-12 eCollection Date: 2025-01-01 DOI:10.1590/0001-3765202520240796

Roberto F Manghi, Érica V Nogueira, Audrey Helen M A Cysneiros

引用次数: 0

Abstract

Local influence diagnostics for elliptical multilevel models are proposed in this paper. This class of models involves the use of continuous symmetric distributions, including heavy-tailed error models, and the normal distribution as a particular case. Maximum likelihood estimation and features related to the fitting and model assumptions are discussed. Finally, local influence measures under different perturbation schemes are developed and applied to fit real data under the normal, Student- t and power exponential distributions.

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椭圆多层模型的局部影响诊断。

提出了椭圆多水平模型的局部影响诊断方法。这类模型涉及使用连续对称分布，包括重尾误差模型，以及作为特殊情况的正态分布。讨论了最大似然估计和与拟合和模型假设相关的特征。最后，提出了不同扰动方案下的局部影响测度，并将其应用于正态分布、Student- t分布和幂指数分布下的实际数据拟合。

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

Anais da Academia Brasileira de Ciencias 综合性期刊-综合性期刊

CiteScore

2.20

自引率

0.00%

发文量

347

审稿时长

1 months

期刊介绍： The Brazilian Academy of Sciences (BAS) publishes its journal, Annals of the Brazilian Academy of Sciences (AABC, in its Brazilianportuguese acronym ), every 3 months, being the oldest journal in Brazil with conkinuous distribukion, daking back to 1929. This scienkihic journal aims to publish the advances in scienkihic research from both Brazilian and foreigner scienkists, who work in the main research centers in the whole world, always looking for excellence. Essenkially a mulkidisciplinary journal, the AABC cover, with both reviews and original researches, the diverse areas represented in the Academy, such as Biology, Physics, Biomedical Sciences, Chemistry, Agrarian Sciences, Engineering, Mathemakics, Social, Health and Earth Sciences.