Animator Shuyi Chiou and the folks at CreatureCast give an adorable introduction to the central limit theorem – an important concept in probability theory that can reveal normal distributions (i.e.

The usual local central limit theorem provides an approximation for the probability for an iid sequence . The approximation is proportional to the lattice size of the underlying distribution of the ...

Let Mn denote the size of the largest amongst the first n generations of a simple branching process. It is shown for near critical processes with a finite offspring variance that the law of Mn/n, ...