V2EX differencing

Differencing

Definition / 释义

differencing(名词/动名词)常指“求差/作差”:把两个数值、序列或数据集相减以得到差异,用于分析变化、去除趋势或比较差别。
在统计与数据分析中常特指对时间序列做差分(如一阶差分、二阶差分),以帮助数据更平稳、便于建模。(在图像处理等领域也可指“差分运算/差分法”。)

Pronunciation / 发音

/df()r()ns/

Examples / 例句

We use differencing to see day-to-day changes.
我们用差分来观察每天的变化。

After differencing the time series, the trend weakened and the model fit improved significantly.
对时间序列进行差分后,趋势成分减弱,模型拟合效果明显提升。

Etymology / 词源

来自 difference(差异、差别),其源头可追溯到拉丁语 differentia(差异),与 differre(“分开带走/使不同”)有关;加上动名词后缀 -ing,表示“进行求差/差分这一过程或方法”。

Related Words / 相关词

Literary Works / 文学作品举例

  • Time Series Analysis: Forecasting and Control(Box, Jenkins, Reinsel)时间序列中“差分(differencing)”的经典用法与讨论。
  • The Analysis of Time Series: An Introduction(Chatfield)介绍差分用于去趋势、实现平稳化的基础方法。
  • Time Series Analysis(James D. Hamilton)宏观经济与统计建模语境下频繁使用“differencing”。
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