Practical testing for the normal mixture

IF 1.8 4区 经济学 Q2 ECONOMICS
Jin Seo Cho
{"title":"Practical testing for the normal mixture","authors":"Jin Seo Cho","doi":"10.1016/j.econlet.2025.112567","DOIUrl":null,"url":null,"abstract":"<div><div>The current study provides a Gaussian version used to test for the normal mixture hypothesis with a single mean and two distinct variances. We derive the Gaussian version for the model by associating its score function with the generalized Laguerre polynomial. The Gaussian version is analytical, so that it can be simulated to obtain the asymptotic critical values of the likelihood-ratio test.</div></div>","PeriodicalId":11468,"journal":{"name":"Economics Letters","volume":"255 ","pages":"Article 112567"},"PeriodicalIF":1.8000,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Economics Letters","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165176525004045","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ECONOMICS","Score":null,"Total":0}
引用次数: 0

Abstract

The current study provides a Gaussian version used to test for the normal mixture hypothesis with a single mean and two distinct variances. We derive the Gaussian version for the model by associating its score function with the generalized Laguerre polynomial. The Gaussian version is analytical, so that it can be simulated to obtain the asymptotic critical values of the likelihood-ratio test.
正常混合物的实际测试
目前的研究提供了一个高斯版本,用于检验具有单一均值和两个不同方差的正态混合假设。我们通过将分数函数与广义拉盖尔多项式联系起来,推导出该模型的高斯版本。高斯版本是解析的,因此可以模拟得到似然比检验的渐近临界值。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
Economics Letters
Economics Letters ECONOMICS-
CiteScore
3.20
自引率
5.00%
发文量
348
审稿时长
30 days
期刊介绍: Many economists today are concerned by the proliferation of journals and the concomitant labyrinth of research to be conquered in order to reach the specific information they require. To combat this tendency, Economics Letters has been conceived and designed outside the realm of the traditional economics journal. As a Letters Journal, it consists of concise communications (letters) that provide a means of rapid and efficient dissemination of new results, models and methods in all fields of economic research.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信