V2EX discrete distribution

Discrete Distribution

释义 Definition

离散分布:在概率论与统计中,指随机变量只能取可数个(通常是整数或有限集合)可能值的概率分布;每个取值对应一个概率(常用概率质量函数 PMF 表示)。常见例子有伯努利分布、二项分布、泊松分布等。
(注:与之相对的是 continuous distribution 连续分布。)

发音 Pronunciation (IPA)

/dskrit dstrbjun/

例句 Examples

The number of emails I receive in an hour can be modeled by a discrete distribution.
我一小时内收到的邮件数量可以用离散分布来建模。

When the random variable takes values only in {0, 1, 2, …}, its behavior is described by a discrete distribution, often summarized by a probability mass function.
当随机变量只能取 {0, 1, 2, …} 这样的值时,它的行为由离散分布描述,通常用概率质量函数来概括。

词源 Etymology

discrete 来自拉丁语 discretus,意为“分开的、区分开的”,强调“一个个分离的取值”;ditribution 源自拉丁语 distributio,意为“分配、分布”。合起来 discrete distribution 就是“取值彼此分离(可数)的概率分布”。

相关词 Related Words

文献作品 Notable Works

  • A First Course in Probability(Sheldon Ross)
  • Introduction to Probability(Charles M. Grinstead & J. Laurie Snell)
  • All of Statistics: A Concise Course in Statistical Inference(Larry Wasserman)
  • Probability and Random Processes(Geoffrey R. Grimmett & David R. Stirzaker)
  • An Introduction to Mathematical Statistics and Its Applications(Richard J. Larsen & Morris L. Marx)
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