V2EX point estimate

Point Estimate

定义 Definition

点估计:用一个具体数值来估计总体参数(如总体均值、比例、方差等)的统计方法或该数值本身。与之相对的是区间估计(给出一个范围,如置信区间)。除统计学外,“estimate”在日常语境中也可指“估算”,但此处主要指统计学含义。

例句 Examples

The sample mean is a point estimate of the population mean.
样本均值是总体均值的点估计。

Although the point estimate suggests the treatment helps, we also report a confidence interval to reflect uncertainty.
尽管点估计表明该治疗可能有效,我们仍报告置信区间以反映不确定性。

发音 Pronunciation

/pnt estmt/

词源 Etymology

point 源自拉丁语 punctum(“点、刺点”),表示“一个位置/单点”;estimate 源自拉丁语 aestimare(“评估、估价”)。合起来 “point estimate” 字面意思就是“用一个点(单一数值)来做估计”,对应统计学中用单个数值概括参数的做法。

相关词 Related Words

文学与著作 Literary Works

  • Statistical Inference(Casella & Berger)在估计理论章节中系统讨论点估计、无偏性与效率等概念。
  • All of Statistics(Larry Wasserman)以直观方式讲解点估计与区间估计、误差度量等。
  • An Introduction to Mathematical Statistics and Its Applications(Larsen & Marx)在参数估计部分频繁使用“point estimate”表述。
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