V2EX survival function

Survival Function

释义 Definition

生存函数(survival function):在生存分析/可靠性分析中,表示随机变量“生存时间”超过某个时间点 t 的概率的函数,通常记作 **S(t) = P(T > t)**。用于描述个体在时间 t 之后仍“未发生事件”(如死亡、故障、复发等)的可能性。

发音 Pronunciation (IPA)

/srvavl fkn/

例句 Examples

The survival function shows the probability of surviving past time t.
生存函数表示在时间 t 之后仍存活的概率。

In medical studies, researchers estimate the survival function to compare treatments when some patients are lost to follow-up.
在医学研究中,当部分患者失访时,研究者会估计生存函数来比较不同治疗方案。

词源 Etymology

survival 来自 survive(存活、幸存),源于拉丁语 supervivere(“活过、活下来”,super- “在……之上/超过” + vivere “活”)。function 来自拉丁语 functio(履行、执行),在数学语境中引申为“函数”。合起来 survival function 就是“描述存活概率随时间变化的函数”,是统计学与生物统计学中的核心术语之一。

相关词 Related Words

文学与经典著作中的出现 Literary Works

  • Statistical Models and Methods for Lifetime Data(Jerald F. Lawless)
  • The Statistical Analysis of Failure Time Data(John D. Kalbfleisch & Ross L. Prentice)
  • Survival Analysis: Techniques for Censored and Truncated Data(John P. Klein & Melvin L. Moeschberger)
  • “Nonparametric Estimation from Incomplete Observations”(Kaplan & Meier, 1958)
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