STM | Mattias Villani | Observable

Education

Mattias Villani

@mattiasvillani

Professor of Statistics at Stockholm University

STM

Interactive notebooks for the course Statistical Theory and Modeling at Stockholm University

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Likelihood and Information

Mattias Villani

May 10

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Multivariate normal distribution

Mattias Villani

Apr 16, 2025

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Maximum likelihood for iid Poisson data

Mattias Villani

Apr 15, 2025

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Maximum likelihood - Bernoulli data

Mattias Villani

Feb 20, 2025

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Sampling distribution and likelihood function - Bernoulli model

Mattias Villani

Aug 16, 2024

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Confidence interval for a mean

Mattias Villani

Jan 13, 2024

1

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Second derivative measures the curvature of a function

Mattias Villani

Mar 15, 2025

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Law of Large Numbers

Mattias Villani

Sep 12

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Central limit theorem

Mattias Villani

Apr 12, 2025

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Maximum likelihood - Poisson regression

Mattias Villani

May 18, 2025

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Chebyshev's inequality

Mattias Villani

Apr 11, 2025

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Student-t distribution (three-parameter)

Mattias Villani

Feb 3, 2024

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Beta distribution

Mattias Villani

Jan 16

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Chi2-distribution

Mattias Villani

Feb 18, 2024

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Gamma distribution

Mattias Villani

Mar 11, 2025

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Exponential distribution

Mattias Villani

May 5, 2025

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Normal (Gaussian) distribution

Mattias Villani

Feb 16, 2024

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Triangular distribution

Mattias Villani

Sep 4, 2023

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Uniform distribution

Mattias Villani

Sep 4, 2023

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Negative binomial distribution

Mattias Villani

May 22, 2025

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Geometric distribution

Mattias Villani

Sep 4, 2023

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Poisson distribution

Mattias Villani

Feb 16, 2024

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Binomial distribution

Mattias Villani

Jan 2, 2024

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Bernoulli distribution

Mattias Villani

Sep 4, 2023

1

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The Taylor approximation

Mattias Villani

Sep 20, 2025

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The Riemann integral

Mattias Villani

Mar 16, 2025

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A function and its derivatives

Mattias Villani

Apr 11, 2025

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Function optimization

Mattias Villani

Mar 25, 2025

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Mattias Villani

Mar 26

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The logarithm function

Mattias Villani

Mar 20, 2025

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The exponential function

Mattias Villani

Mar 22