# Likelihood Based Methods Ignorable

## Introduction to Maximum Likelihood Estimation

Maximum Likelihood Estimation (MLE) is a method of estimating the parameters of a probability distribution by maximising a likelihood function, so that under the assumed statistical model the observed data is most probable

## Introduction to Bayesian Inference

Bayesian inference is a method of statistical inference in which Bayes theorem is used to update the probability for a hypothesis as more evidence or information becomes available

## Likelihood Based Inference with Incomplete Data

When making inference with missing data, any statistical method must rely on either explicit or implicit assumptions about the mechanism which lead some of the values to be missing

## Expectation Maximisation Algorithm

An Expectation–Maximization (EM) algorithm is an iterative method to find maximum likelihood or maximum a posteriori estimates of parameters in statistical models, where the model depends on unobserved latent variables

## Bayesian Iterative Simulation Methods

The most popular class of Bayesian iterative methods is called Markov chain Monte Carlo (MCMC), which comprises different algorithms for sampling from a probability distribution. The more steps that are included, the more closely the distribution of the sample matches the actual desired distribution