The simple case of almost sure representations
Explains a simple version of the almost-sure representation theorem in probability, using quantile functions and coupling.
Explains a simple version of the almost-sure representation theorem in probability, using quantile functions and coupling.
Explains why pairwise independence of variables does not imply joint independence, using a chessboard as an intuitive counterexample.
Explores convolutions in probability theory, explaining how they combine distributions and compute sums of random variables.