Lectures in course MATH-562: Statistical inference

Explores regular exponential family models, unifying distributions like Poisson, binomial, and normal under a common framework.

Covers exponential family models and their statistical properties, including canonical statistics and cumulant-generating functions.

Explores the elimination of nuisance parameters in statistical models using Lemmas 14 and 15.

Covers the elimination of nuisance parameters in statistical inference using Lemmas 14 and 15.

Covers model selection, nuisance parameters, and higher-order inference methods in statistical inference.

Explores exponential families, likelihood functions, and model regularity in statistical inference.