V2EX probability distribution

Probability Distribution

Definition / 定义

概率分布:描述一个随机变量在不同取值(或取值区间)上出现的可能性如何分配的数学表示。常见形式包括离散型(用概率质量函数表示)和连续型(用概率密度函数表示)。在统计中也常指总体或模型的分布形状。(注:在不同语境下也可泛指“数据的分布”。)

Pronunciation / 发音

/prbblti dstrbjun/

Examples / 例句

The probability distribution shows how likely each outcome is.
概率分布展示了每个结果发生的可能性有多大。

Assuming a normal probability distribution, we can estimate the chance that the measurement falls within two standard deviations of the mean.
在假设服从正态概率分布的情况下,我们可以估计测量值落在均值上下两个标准差范围内的概率。

Etymology / 词源

probability 源自拉丁语 probabilitas(“可能性、可信性”),与 probare(“证明、检验”)相关;distribution 来自拉丁语 distribuere(“分配、分发”)。合在一起,字面意思是“把可能性按结果进行分配”,对应其数学含义。

Related Words / 相关词

Literary Works / 文学作品例证

  • Andrey Kolmogorov Foundations of the Theory of Probability(概率论公理化与分布概念的重要经典著作)
  • William Feller An Introduction to Probability Theory and Its Applications(大量讨论各类概率分布及其应用)
  • E. T. Jaynes Probability Theory: The Logic of Science(以推断视角讨论概率分布的意义与使用)
  • Sheldon Ross A First Course in Probability(入门教材中频繁使用“probability distribution”讲解模型)
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