Maximum Likelihood Articles

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1/9/2024 • EN

Asymptotics for linear mixed models

Explores the asymptotic behavior of parameter estimates in linear mixed models, focusing on the loglikelihood as a quadratic form in Gaussian variables.

Asymptotic Theory Gaussian Processes Linear Mixed Models Maximum Likelihood statistics

Thomas Lumley

2/1/2017 • EN

When the bootstrap doesn’t work

Explores statistical scenarios where the bootstrap resampling method fails to provide accurate variance estimates or confidence intervals.

Asymptotics bootstrap Maximum Likelihood Resampling statistics

Thomas Lumley

8/14/2016 • EN

Simulations and modes of convergence

Discusses why simulation summaries should focus on quantiles and robust statistics rather than moments when evaluating asymptotic approximations.

Asymptotics Convergence Maximum Likelihood simulation statistics

Thomas Lumley

12/20/2015 • EN

Case-control estimation is more complicated than you think

Explores the complexities and efficiency trade-offs between weighted and unweighted logistic regression in case-control study designs.

Case Control Study Logistic Regression Maximum Likelihood Multiple Imputation Statistical Analysis

Thomas Lumley

Maximum Likelihood Articles

Asymptotics for linear mixed models

When the bootstrap doesn’t work

Simulations and modes of convergence

Case-control estimation is more complicated than you think

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