V2EX unit root

Unit Root

释义 Definition

unit root(单位根):计量经济学与时间序列分析中的概念,指一个时间序列在某种自回归模型中具有根为 1 的特征,通常意味着序列非平稳、冲击的影响会长期持续,常见表现为随机游走或带趋势的随机过程。(在更广义语境下也可泛指“存在单位根的过程/序列”。)

发音 Pronunciation (IPA)

/junt rut/

例句 Examples

The series seems to have a unit root.
这个序列看起来存在单位根。

If a time series contains a unit root, shocks may have permanent effects, so we often use an ADF test to check for stationarity before modeling.
如果时间序列包含单位根,冲击可能产生永久影响,因此建模前我们常用 ADF 检验来检查平稳性。

词源 Etymology

unit 源自拉丁语 unitas(“一、统一”),表示“1”;root 在数学中指方程的“根”。“unit root”字面意思是“等于 1 的根”,在时间序列/差分方程背景下用来描述当特征根为 1 时,过程具有“记忆不消退”的性质,从而导致非平稳性。

相关词 Related Words

文学与著作中的用例 Literary / Notable Works

  • Time Series Analysis(James D. Hamilton)在单位根与宏观时间序列建模章节中频繁出现
  • Analysis of Financial Time Series(Ruey S. Tsay)讨论金融数据的单位根检验与差分处理
  • Time Series Econometrics(例如相关教材与专著)单位根、协整与误差修正模型的核心术语
  • Econometric Analysis(William H. Greene)在时间序列与非平稳数据处理部分提及单位根与检验方法
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