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Inference

Likelihood Ratio and Likelihood

Likelihood Ratio for fully specified models, discrete data
Likelihood Ratio for fully specified models, continuous data
Likelihood Ratios: Examples and Pitfalls
- Examples and Pitfalls
- Example: LRs must be computed on same data
Likelihood Ratios: how big is convincing?
Likelihood Ratios: Wilks’s Theorem
The Likelihood Function
Asymptotic Normality of MLE

Bayesian Inference

Empirical Bayes

The Empirical Bayes Normal Means problem

Frequentist vs Bayesian Inference

Decision Theory

Mixture Models

Bayesian Computation

Markov Chain Monte Carlo

Hidden Markov Models

Forwards Backwards calculation example

Distributions

Stochastic Processes

Discrete-Time Markov Chains

Poisson Processes

Methods for sampling non-standard distributions

Inverse Transform Sampling

Multivariate Normal

Population Genetics

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