V2EX pivotal quantity

Pivotal Quantity

释义 Definition

枢轴量(pivotal quantity):统计学中的一个量(通常是由样本和未知参数构成的函数),其概率分布不依赖于未知参数。常用于构造置信区间假设检验
(注:在其他语境中 pivotal 也可指“关键的/枢纽的”,quantity 指“数量/量”。)

发音 Pronunciation (IPA)

/pvtl kwntti/

例句 Examples

A pivotal quantity helps us build a confidence interval.
枢轴量帮助我们构造置信区间。

By finding a pivotal quantity whose distribution does not depend on the unknown parameter, the statistician derived an exact confidence interval for the mean.
通过找到一个分布不依赖未知参数的枢轴量,统计学家为均值推导出了精确的置信区间。

词源 Etymology

pivotal 来自 pivot(“支点、枢轴”),引申为“起关键作用的”。quantity 来自拉丁语 quantitas(“多少、数量”)。合起来 pivotal quantity/strong> 直译为“起枢轴作用的量”,在统计学中特指“分布对未知参数不敏感/不依赖”的构造性统计量,因此能“作为推断的支点”。

相关词 Related Words

文学与著作中的用例 Literary Works

  • Statistical Inference George Casella & Roger L. Berger
  • All of Statistics Larry Wasserman
  • An Introduction to Mathematical Statistics and Its Applications Richard J. Larsen & Morris L. Marx
  • Theory of Point Estimation Erich L. Lehmann & George Casella
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