V2EX maximum-likelihood

Maximum-Likelihood

Definition / 定义

“最大似然(估计/方法)”:一种统计学与机器学习中的参数估计思想,通过选择使观测数据出现概率(似然)最大的参数值来拟合模型。常写作 **maximum likelihood (estimation)**,也可指“最大似然”原则本身。

Pronunciation / 发音

/mk.s.mm la.ki.l.hd/

Examples / 例句

Maximum-likelihood estimation often works well with large datasets.
最大似然估计在大型数据集上通常效果很好。

Using a maximum-likelihood approach, the researcher fit a logistic regression model while accounting for missing data.
研究者采用最大似然方法拟合了逻辑回归模型,并同时处理了缺失数据的问题。

Etymology / 词源

该术语由 maximum(最大) + likelihood(似然) 组成:在统计推断中,“似然”表示“在给定参数下,观察到当前数据的支持程度(有多‘可能’)”。“最大似然”这一表达与相关方法在 20 世纪统计学发展(尤其与 R.A. Fisher 的工作)中被系统化并广泛传播。

Related Words / 相关词

Literary Works / 文学作品

  • R. A. Fisher, On the Mathematical Foundations of Theoretical Statistics(1922)
  • R. A. Fisher, Statistical Methods for Research Workers(1925)
  • E. L. Lehmann & G. Casella, Theory of Point Estimation(经典统计教材)
  • T. Hastie, R. Tibshirani & J. Friedman, The Elements of Statistical Learning(机器学习经典教材)
  • C. M. Bishop, Pattern Recognition and Machine Learning(模式识别与机器学习经典教材)
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