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Everything about Maximum likelihood estimation

Method of estimating the parameters of a statistical model, given observations

In statistics, maximum likelihood estimation (MLE) is a method of estimating the parameters of an assumed probability distribution, given some observed data. This is achieved by maximizing a likelihood function so that, under the assumed statistical model, the observed data is most probable. The point in the parameter space that maximizes the likelihood function is called the maximum likelihood estimate. The logic of maximum likelihood is both intuitive and flexible, and as such the method has become a dominant means of statistical inference. Wikipedia →

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  1. Read the overview: Maximum likelihood estimationA 5-minute orientation
  2. Skim a recent paper: Maximum likelihood estimation for score-driven modelsInfluential work since 2022
  3. Pick up a classic book: The pulse-pair algorithm as a robust estimator of turbulent weather spectral parameters using airborne pulse Doppler radarThe most-reprinted book on the subject
  4. Read the landmark paper: IQ-TREE: A Fast and Effective Stochastic Algorithm for Estimating Maximum-Likelihood PhylogeniesCited 25,776 times
  5. Go sideways: Maximum spacing estimationA closely related topic
  6. Go sideways: Point estimationA closely related topic

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🆕 Influential since 2022

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