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Mattias Villani
@mattiasvillani
Professor of Statistics at Stockholm University
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STM | Mattias Villani | Observable
STM | Mattias Villani | Observable
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Interactive notebooks for the course Statistical Theory and Modeling at Stockholm University
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The derivative
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Mattias Villani
Mar 26
Central limit theorem
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Mattias Villani
Apr 12, 2025
The Riemann integral
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Mattias Villani
Mar 16, 2025
Maximum likelihood for iid Poisson data
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Mattias Villani
Apr 15, 2025
Sampling distribution and likelihood function - Bernoulli model
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Mattias Villani
Aug 16, 2024
Law of Large Numbers
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Mattias Villani
Mar 11, 2025
Second derivative measures the curvature of a function
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Mattias Villani
Mar 15, 2025
A function and its derivatives
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Mattias Villani
Apr 11, 2025
Confidence interval for a mean
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Mattias Villani
Jan 13, 2024
1
The Taylor approximation
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Mattias Villani
Sep 20, 2025
The exponential function
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Mattias Villani
Mar 22
The logarithm function
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Mattias Villani
Mar 20, 2025
Bernoulli distribution
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Mattias Villani
Sep 4, 2023
1
Binomial distribution
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Mattias Villani
Jan 2, 2024
Chi2-distribution
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Mattias Villani
Feb 18, 2024
Exponential distribution
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Mattias Villani
May 5, 2025
Chebyshev's inequality
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Mattias Villani
Apr 11, 2025
Maximum likelihood - Bernoulli data
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Mattias Villani
Feb 20, 2025
Beta distribution
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Mattias Villani
Jan 16
Function optimization
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Mattias Villani
Mar 25, 2025
Geometric distribution
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Mattias Villani
Sep 4, 2023
Gamma distribution
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Mattias Villani
Mar 11, 2025
Negative binomial distribution
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Mattias Villani
May 22, 2025
Normal (Gaussian) distribution
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Mattias Villani
Feb 16, 2024
Poisson distribution
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Mattias Villani
Feb 16, 2024
Triangular distribution
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Mattias Villani
Sep 4, 2023
Uniform distribution
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Mattias Villani
Sep 4, 2023
Multivariate normal distribution
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Mattias Villani
Apr 16, 2025
Student-t distribution (three-parameter)
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Mattias Villani
Feb 3, 2024
Maximum likelihood - Poisson regression
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Mattias Villani
May 18, 2025
Likelihood and Information
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Mattias Villani
May 10
