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Transformations

Properties of estimators
Bias

Estimating means and variances

Information
Observed Information
Expected Information
CRLB
Efficiency

Large Sample Properties of the MLE
Wald intervals

Standard 1 and 2 sample tests

Likelihood Ratio Tests - simple hypotheses

UMP Tests and Monotone Likelihood Ratio

Generalised Likelihood Ratio Tests and Wilks Theorem

Non-informative Priors
Non-informative priors aim to encode minimal prior knowledge while allowing the data to dominate
Some non-informative priors are improper, and so must check that the posterior is proper
They provide principled priors, but require care
Large sample approximation
