On a von Mises-type circular distribution.

IF 1.1 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES

Anais da Academia Brasileira de Ciencias Pub Date : 2025-07-14 eCollection Date: 2025-01-01 DOI:10.1590/0001-3765202520240869

Fredy Castellares, Artur J Lemonte

引用次数: 0

Abstract

We introduce a two-parameter circular family of distributions based on the traditional von Mises distribution. A comprehensive account of the general properties of the new circular distribution is provided. Maximum likelihood estimation of the model parameters is discussed, and we provide a simple method to find the maximum likelihood estimates numerically. We also derive the expected Fisher information matrix for the model parameters. An empirical application to a real data set is considered to illustrate the new circular distribution in practice.

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在von mises型圆形分布上。

在传统von Mises分布的基础上，引入了一种双参数圆形分布族。对新循环分布的一般性质作了全面的说明。讨论了模型参数的极大似然估计，并给出了一种简单的数值求极大似然估计的方法。我们还推导了模型参数的期望费雪信息矩阵。考虑了一个实际数据集的经验应用，以说明新的圆形分布在实践中。

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.