V2EX maximum likelihood estimation

Maximum Likelihood Estimation

Definition|释义

最大似然估计(MLE):一种统计推断方法,通过选择参数,使得在该参数下观测到的数据出现的概率(似然)最大。常用于参数估计、机器学习模型训练与概率模型拟合。(也常简称 MLE。)

Pronunciation (IPA)|发音(IPA)

/mksmm laklihd stmen/

Examples|例句

We used maximum likelihood estimation to fit the model parameters.
我们用最大似然估计来拟合模型参数。

Under standard regularity conditions, maximum likelihood estimation produces consistent and asymptotically normal parameter estimates.
在一些常见的正则条件下,最大似然估计会给出一致且渐近正态的参数估计。

Etymology|词源

该术语由三部分构成:maximum(“最大”,源自拉丁语 maximus)、likelihood(“可能性/似然”,由 likely 演变而来,后在统计学中专指“似然函数”的概念)、estimation(“估计”,源自拉丁语 aestimare,意为“评估、估价”)。在统计学发展史中,“似然(likelihood)”作为专门概念在近代统计学(尤其与 R. A. Fisher 的工作相关)中被系统化,并形成“最大似然估计”这一核心方法。

Related Words|相关词

Literary Works|作品与文献中的用例

  • Ronald A. Fisher, On the Mathematical Foundations of Theoretical Statistics(1922)
  • Harold Cramér, Mathematical Methods of Statistics(1946)
  • George Casella & Roger L. Berger, Statistical Inference(经典统计推断教材)
  • Christopher M. Bishop, Pattern Recognition and Machine Learning(机器学习经典教材)
  • Trevor Hastie, Robert Tibshirani & Jerome Friedman, The Elements of Statistical Learning(统计学习经典)
  • Kevin P. Murphy, Machine Learning: A Probabilistic Perspective(概率视角机器学习教材)
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