On M tests in linear models

PRANAB KUMAR SEN

doi:10.1093/biomet/69.1.245

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On M tests in linear models

PRANAB KUMAR SEN刊期 1982 · 卷 69（1）Biometrika已编入正刊

线性模型中的M检验AI 解读 ↓

检验与推断一般估计

被引 55 次 ↗OpenAlex · 核验 2026-10-04

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DOI · 10.1093/biomet/69.1.245

Biometrika · 卷 69，期 1 · 页码 / 文章号 245-248

正式刊期日期：1982

DOI 首次登记：2007-01-04

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PRANAB KUMAR SEN

AI 解读 · 基于可核验材料

线性模型中的M检验

研究问题: 在某些一般线性模型中，如何利用M估计量形成的残差检验参数子假设，并研究这些检验的大样本性质？
方法与思路: 作者考虑基于M估计量残差构造的若干子假设检验，并分析其渐近性质；摘要没有提供统计量形式或具体推导步骤。
材料陈述的贡献: 摘要明确陈述的贡献是研究一般线性模型中一类残差型M检验及其渐近性质，没有交代效率、功效或稳健性的具体结论。
阅读关注点: 应核对适用的线性模型范围、M估计所用函数、原假设与局部备择设定，以及检验统计量和渐近分布所需条件。
阅读边界: 所给OpenAlex索引摘要很短且稿件版本未注明；模型条件、渐近结论和比较证据均不足，不能补推其稳健性优势。

GPT-6.1 Sol · 高 · 2026-10-05

原文摘要

For subhypothesis testing in some general linear models, some tests based on residuals using M-estimators are considered and their asymptotic properties are studied.

摘要来源：OpenAlex 索引摘要（稿件版本未注明）

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