Bayesian Learning
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Interactive notebooks for the Bayesian Learning book
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Bernoulli distribution
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Mattias Villani
Sep 4, 2023
1
Maximum likelihood - Bernoulli data
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Mattias Villani
Feb 20, 2025
Bayes' theorem for events
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Mattias Villani
Jun 9, 2024
2
Bayesian inference for Bernoulli iid data
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Mattias Villani
Feb 10, 2025
Bayesian inference for Gaussian iid data with known variance
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Mattias Villani
Feb 10, 2025
1
Maximum likelihood for iid Poisson data
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Mattias Villani
Apr 15, 2025
Bayesian inference for iid Poisson counts
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Mattias Villani
Feb 10, 2025
Bayesian inference for Exponential iid data
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Mattias Villani
Aug 7
Bayesian credible intervals
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Mattias Villani
Sep 11, 2025
Scaled inverse chi2 distribution
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Mattias Villani
Sep 4, 2023
Bayesian inference for Gaussian iid data
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Mattias Villani
Apr 26, 2024
Bayesian inference for multinomial data
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Mattias Villani
Nov 18, 2023
Autoregressive processes - simulation and priors
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Mattias Villani
Feb 9, 2025
Prior predictive - iid Poisson model with Gamma prior
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Mattias Villani
Sep 12
Multivariate normal distribution
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Mattias Villani
Apr 16, 2025
Bayesian linear regression
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Mattias Villani
Dec 10, 2023
Central limit theorem
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Mattias Villani
Apr 12, 2025
Law of Large Numbers
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Mattias Villani
Sep 12
The Taylor approximation
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Mattias Villani
Sep 20, 2025
Second derivative measures the curvature of a function
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Mattias Villani
Mar 15, 2025
Random Walk Metropolis
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Mattias Villani
Feb 13, 2025
Hamiltonian Markov Chain Monte Carlo
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Mattias Villani
Jul 25, 2023
1
Leapfrog Integrator
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Mattias Villani
Jul 25, 2023
HMC sampling from multi-modal distributions
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Mattias Villani
Jul 26, 2023
Posterior approximation - Beta model for proportions
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Mattias Villani
Feb 11, 2025
Dirichlet Distribution
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Mattias Villani
Oct 6, 2023
Distributions on the unit simplex
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Mattias Villani
Sep 26
1
Maximum likelihood - Poisson regression
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Mattias Villani
May 18, 2025
Kullback-Leibler divergence - continuous distributions
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Mattias Villani
May 12
1
Confidence interval for a proportion
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Mattias Villani
Jan 18, 2025
Coverage of interval estimates for a proportion
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Mattias Villani
Sep 3
Approximating the Binomial distribution
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Mattias Villani
May 26, 2024
Sampling distribution and likelihood function - Normal model
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Mattias Villani
Jul 28, 2024
Sampling distribution and likelihood function - Bernoulli model
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Mattias Villani
Aug 16, 2024
Bayesian hypothesis test for a mean in a normal population
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Mattias Villani
Oct 27, 2025
Distribution of the maximum - a tale of tails
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Mattias Villani
Feb 11, 2025
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