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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

Frequentist vs Bayesian Inference

Decision Theory

Making a decision under uncertainty: the two class problem

Mixture Models

Bayesian Computation

Markov Chain Monte Carlo

Distributions

Stochastic Processes

Discrete-Time Markov Chains

Poisson Processes

Methods for sampling non-standard distributions

Inverse Transform Sampling

Multivariate Normal

Brownian Motion and Ornstein-Uhlenbeck Process

Population Genetics

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