V2EX hypergeometric

Hypergeometric

释义 Definition

hypergeometric(形容词)超几何的;指与超几何函数超几何分布有关的(常见于数学、概率统计中)。

发音 Pronunciation

/haprdimtrk/

例句 Examples

The hypergeometric distribution is used when sampling without replacement.
超几何分布用于不放回抽样的情形。

We derived a hypergeometric identity to simplify the probability calculation in a finite population.
我们推导了一个超几何恒等式,用来简化有限总体中的概率计算。

词源 Etymology

hyper- 来自希腊语,表示“超过、超出”;geometric 与“几何”相关。合起来 hypergeometric 字面意思可理解为“超出(普通)几何范围的”,在数学史中常用于指代比“几何级数”更广义、更复杂的一类函数与级数体系(如超几何级数、超几何函数),后来也衍生到概率统计里的超几何分布

相关词 Related Words

文学与著作 Literary Works

  • Abramowitz and Stegun, Handbook of Mathematical Functions(大量条目涉及 hypergeometric functions)
  • George E. Andrews, Richard Askey, Ranjan Roy, Special Functions(系统讨论超几何函数及其推广)
  • William Feller, An Introduction to Probability Theory and Its Applications(概率论中讨论离散分布时涉及超几何分布)
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