V2EX error term

Error Term

定义 Definition

error term(误差项/误差项项):在统计学、计量经济学或回归模型中,用来表示模型未能解释的那部分变动(如遗漏变量、测量误差、随机噪声等)的项,常写作 ε(epsilon)。在一般语境中也可指“误差项/误差项成分”。

发音 Pronunciation (IPA)

/rr tm/

例句 Examples

The error term captures random noise in the data.
误差项用来表示数据中的随机噪声。

If the error term is correlated with an explanatory variable, the regression estimates can be biased.
如果误差项与某个解释变量相关,回归估计就可能产生偏误。

词源 Etymology

error 源自拉丁语 error(“偏离、错误、迷失”),term 源自拉丁语 terminus(“界限、术语/词项”)。合起来的 error term 属于现代统计与建模语言,用来指“代表误差的那个词项/项”,强调它是公式或模型中的一个组成部分。

相关词 Related Words

文学与经典著作 Literary & Notable Works

  • Econometric Analysis(W. H. Greene):在回归与假设检验章节中频繁使用 error term 来讨论模型设定与误差结构。
  • Introductory Econometrics: A Modern Approach(Jeffrey M. Wooldridge):用于解释外生性、内生性与“误差项与解释变量相关”的问题。
  • The Elements of Statistical Learning(Hastie, Tibshirani, Friedman):在监督学习的建模框架中常用误差/噪声项来刻画不可解释部分。
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