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Mattias Villani
Professor of Statistics at Stockholm University
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Basic Statistics
By
Mattias Villani
Edited
Basic Statistics
Normal approximation of the sampling distribution for a proportion
Confidence interval for a proportion
Law of Large Numbers
Central limit theorem
How the mean and median are affected by extreme observations
Maximum likelihood - Poisson regression
Distribution of the maximum - a tale of tails
Maximum likelihood - Bernoulli data
Confidence interval for a mean
Hypothesis test for a mean - Type I and II errors
Hypothesis test for a mean in a normal population
Histogram - the choice of bins
Maximum likelihood for iid Poisson data
Approximating the Binomial distribution
Coverage of interval estimates for a proportion
Sampling distribution and likelihood function - Normal model
Sampling distribution and likelihood function - Bernoulli model
Coverage of confidence intervals for a proportion - Wald vs Wilson
Chebyshev's inequality