V2EX continuous distribution

Continuous Distribution

释义(中文)/ Definition

(统计学/概率论)连续型分布:指随机变量可以在某个区间内取任意实数值的概率分布。对连续型随机变量来说,单个点的概率为 0,概率通常通过概率密度函数(PDF)在区间上的积分来表示。(也存在离散型分布与混合分布等其他类型。)

发音(IPA)/ Pronunciation

/kntnjus dstrbjun/

例句 / Examples

A normal distribution is a continuous distribution.
正态分布是一种连续型分布。

In a continuous distribution, probabilities are computed over intervals rather than at single points.
在连续型分布中,概率是对区间进行计算的,而不是针对某一个单独的点。

词源(中文)/ Etymology

continuous 来自拉丁语 continuus,意为“连续的、不间断的”;distribution 来自拉丁语 distributio(分配、分布)。合在一起,“continuous distribution”在数学与统计语境中指“取值连续、概率在区间上分布”的分布类型,是与“discrete distribution(离散分布)”相对的基本概念。

相关词 / Related Words

文学与经典著作中的用例 / Notable Works

  • A First Course in Probability(Sheldon M. Ross)
  • Introduction to Probability Models(Sheldon M. Ross)
  • All of Statistics: A Concise Course in Statistical Inference(Larry Wasserman)
  • Probability and Measure(Patrick Billingsley)
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