Bimodal Regression Model

Q3 Mathematics

Revista Colombiana De Estadistica Pub Date : 2017-01-16 DOI:10.15446/RCE.V40N1.51738

Guillermo Martínez, H. Bolfarine, Hugo S. Salinas

引用次数: 4

Abstract

Regression analysis is a technique widely used in different areas ofhuman knowledge, with distinct distributions for the error term. Itis the case, however, that regression models with bimodal responsesor, equivalently, with the error term following a bimodal distribution are notcommon in the literature, perhaps due to the lack of simple to dealwith bimodal error distributions. In this paper we propose a simpleto deal with bimodal regression model with a symmetric-asymmetricdistribution for the error term for which for some values of theshape parameter it can be bimodal. This new distribution containsthe normal and skew-normal as special cases. A realdata application reveals that the new model can be extremely usefulin such situations.

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双峰回归模型

回归分析是一种广泛应用于人类知识不同领域的技术，误差项具有不同的分布。然而，在这种情况下，具有双峰响应器的回归模型，即误差项遵循双峰分布的回归模型在文献中并不常见，这可能是由于缺乏处理双峰误差分布的简单方法。本文提出了一种简单的双峰回归模型，其误差项具有对称-不对称分布，对于某些形状参数值可以是双峰的。这个新分布包含正态和偏正态作为特殊情况。一个realdata应用程序表明，新模型在这种情况下非常有用。

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

Revista Colombiana De Estadistica STATISTICS & PROBABILITY-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Colombian Journal of Statistics publishes original articles of theoretical, methodological and educational kind in any branch of Statistics. Purely theoretical papers should include illustration of the techniques presented with real data or at least simulation experiments in order to verify the usefulness of the contents presented. Informative articles of high quality methodologies or statistical techniques applied in different fields of knowledge are also considered. Only articles in English language are considered for publication. The Editorial Committee assumes that the works submitted for evaluation have not been previously published and are not being given simultaneously for publication elsewhere, and will not be without prior consent of the Committee, unless, as a result of the assessment, decides not publish in the journal. It is further assumed that when the authors deliver a document for publication in the Colombian Journal of Statistics, they know the above conditions and agree with them.