V2EX shape parameter

Shape Parameter

定义 Definition

shape parameter”指形状参数:在数学、统计学中,用来决定一个分布或函数曲线形状的参数(例如偏斜、尾部厚度、峰度等特征)。在不同模型里它可能有不同名称(如 Gamma 分布的 shape,Weibull 分布的 shape)。

发音 Pronunciation

/ep prmtr/

例句 Examples

The shape parameter controls how skewed the distribution is.
形状参数决定分布有多偏斜。

In a Weibull model, changing the shape parameter can dramatically alter the failure-rate curve over time.
在威布尔模型中,改变形状参数会显著改变故障率随时间变化的曲线形态。

词源 Etymology

shape 来自古英语 sceap(意为“形状、外形”),parameter 源自希腊语 *para-*(旁、辅助)+ metron(度量),原义与“测量相关的量”有关。合起来,“shape parameter”字面意思就是“用来刻画形状的度量参数”,在统计分布与工程建模中被固定化为术语。

相关词 Related Words

文学与著作 Literary Works

  • Statistical Distributions(M. Evans, N. Hastings, B. Peacock):在分布条目中常用 “shape parameter / scale parameter” 区分参数作用。
  • An Introduction to Probability Theory and Its Applications(William Feller):讨论多种分布时涉及“决定分布形态的参数”的表述与用法。
  • Applied Survival Analysis(David W. Hosmer Jr., Stanley Lemeshow, Susanne May):在生存/失效时间模型(如 Weibull)中频繁使用 “shape parameter”。
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