The quantile-based empirical likelihood for the difference of quantiles

IF 0.9 4区数学 Q3 STATISTICS & PROBABILITY

Statistics & Probability Letters Pub Date : 2024-08-31 DOI:10.1016/j.spl.2024.110252

Lichun Dai , Pengfei Liu , Yiming Liu , Guangren Yang

引用次数: 0

Abstract

This paper aims to explore the inference of quantile differences using the quantile-based empirical likelihood (QEL) method. In contrast to traditional empirical likelihood-based approaches, the proposed method yields an explicit likelihood ratio, making it user-friendly in practical applications. Additionally, as an expansion, the comparison of quantile differences between two populations is initially considered as a measure of differences. The limiting distribution of the smoothed log-empirical likelihood ratio for both cases is theoretically derived. The paper also includes simulation studies and an analysis of a dataset comprising 6033 genes.

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基于量纲的量纲差经验似然法

本文旨在探索使用基于量值的经验似然法（QEL）推断量值差异。与传统的基于经验似然的方法相比，本文提出的方法能得到明确的似然比，因此在实际应用中非常方便。此外，作为一种扩展，两个群体之间的量纲差异比较最初被视为一种差异度量。理论上推导出了两种情况下平滑对数经验似然比的极限分布。论文还包括模拟研究和对包含 6033 个基因的数据集的分析。

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

Statistics & Probability Letters 数学-统计学与概率论

CiteScore

1.60

自引率

0.00%

发文量

173

审稿时长

6 months

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