- Introduction - Bayesian Statistics
- Bayesian inference concepts
- Prior distributions
- Introduction - Prior Distributions
- Uninformed priors
- Conjugate priors
- Subjective priors
- Improper priors
- Informed prior
- Determining a prior distribution for a single parameter estimate
- Determining prior distributions for correlated parameters
- Determining prior distributions for uncorrelated parameters
- Hyperparameters

- Likelihood functions
- Calculation methods
- Examples
- -Normal distribution
- Bayesian estimate of the mean of a Normal distribution with known standard deviation
- Bayesian estimate of the mean of a Normal distribution with unknown standard deviation
- Bayesian estimate of the standard deviation of a Normal distribution with known mean
- Bayesian estimate of the standard deviation of a Normal distribution with unknown mean

- Normal approximation to the Beta posterior distribution
- Bayesian analysis example: Gender of a random sample of people
- Bayesian analysis example: Identifying a weighted coin
- Bayesian analysis example: Tigers in the jungle
- Bayesian analysis example: The Monty Hall problem
- Bayesian analysis example: Using cow pats to estimate infected animals in a herd
- Hyperparameter example: Micro-fractures on turbine blades
- Bayesian analysis with threshold data

- -Normal distribution
- The Jacobian transformation

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