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This page contains a list of all the lectures, the exercises and the other instructional materials that can be found on Statlect.

Main lecture Exercises Other material
Mathematical tools
Set theory Exercise set 1
Permutations Exercise set 1
k-permutations Exercise set 1
Combinations Exercise set 1
Partitions Exercise set 1
Sequences
Limit of a sequence
Review of differentiation rules Test 1, Test 2, Test 3, Test 4
Review of integration rules Exercise set 1
Computing the Riemann-Stieltjes integral: some rules
The Gamma function Exercise set 1
The Beta function Exercise set 1
Fundamentals of probability
Probability Exercise set 1 Test 1
Zero-probability events Test 1
Conditional probability Exercise set 1 Test 1
Bayes' rule Exercise set 1
Independent events Exercise set 1 Test 1
Random variables Exercise set 1, Exercise set 2 Test 2
Random vectors Exercise set 1, Exercise set 2 Test 2
Expected value Exercise set 1, Exercise set 2 Test 3
Expected value and the Lebesgue integral
Properties of the expected value Exercise set 1
Variance Exercise set 1, Exercise set 2 Test 3
Covariance Exercise set 1, Exercise set 2 Test 3
Linear correlation Exercise set 1
Covariance matrix Exercise set 1
Indicator functions Exercise set 1
Conditional probability as a random variable
Conditional probability distributions Exercise set 1
Conditional expectation Exercise set 1
Independent random variables Exercise set 1
Fundamentals of probability
Basic probabilistic inequalities Exercise set 1
Legitimate probability mass functions Exercise set 1
Legitimate probability density functions Exercise set 1
Factorization of joint probability mass functions
Factorization of joint probability density functions
Functions of random variables and their distribution Exercise set 1
Functions of random vectors and their distribution Exercise set 1
Moments
Cross-moments
Moment generating function Exercise set 1
Joint moment generating function Exercise set 1
Characteristic function Exercise set 1
Joint characteristic function Exercise set 1
Sums of independent random variables Exercise set 1
Probability distributions
Bernoulli distribution Exercise set 1 Test 1
Binomial distribution Exercise set 1 Test 1
Poisson distribution Exercise set 1 Test 1
Uniform distribution Exercise set 1 Density plots, Test 2
Exponential distribution Exercise set 1 Density plots, Test 1
Normal distribution Exercise set 1 Density plots, Values and tables, Test 2
Chi-square distribution Exercise set 1 Density plots, Values and tables, Test 2
Gamma distribution Exercise set 1 Density plots
Student's t-distribution Exercise set 1 Density plots
F distribution Exercise set 1 Density plots
Beta distribution Exercise set 1
Multinomial distribution Exercise set 1
Multivariate normal distribution Exercise set 1
Multivariate Student's t distribution
Wishart distribution
Linear transformations of normal vectors Exercise set 1
Partitioned normal vectors
Quadratic forms in normal vectors
Asymptotic theory
Sequences of random variables and their convergence
Sequences of random vectors and their convergence
Pointwise convergence Exercise set 1
Almost sure convergence Exercise set 1
Convergence in probability Exercise set 1
Uniform convergence in probability
Mean-square convergence Exercise set 1
Convergence in distribution Exercise set 1
Relations between modes of convergence
Laws of Large Numbers Exercise set 1
Central Limit Theorems Exercise set 1
Convergence of transformations Exercise set 1
Delta method Exercise set 1
Fundamentals of statistics
Statistical inference
Point estimation
Point estimation of the mean Exercise set 1
Point estimation of the variance Exercise set 1
Set estimation
Set estimation of the mean Exercise set 1
Set estimation of the variance Exercise set 1
Hypothesis testing
Testing hypotheses about the mean Exercise set 1
Testing hypotheses about the variance Exercise set 1
Estimation methods
Maximum likelihood
Maximum likelihood - Covariance matrix estimation
Maximum likelihood - Algorithm MATLAB example
Maximum likelihood - Hypothesis_testing
Wald test
Score test
Likelihood ratio test
Exponential distribution - Maximum likelihood
Normal distribution - Maximum likelihood
Conditional models
Miscellanea
Glossary of probability and statistics terms
Probability exercises
Time varying regressions
Random thoughts by StatLect's webmaster
Can Wikipedia become the fastest supercomputer on Earth?
Is there an easy proof for difficult CLTs?
The books

Most of the learning materials found on this website are now available in a traditional textbook format.