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.

CreatureCast - Central Limit Theorem from Casey Dunn on Vimeo. The normal distribution, a bell-shaped statistical curve with a concentration about the mean, is a common phenomenon when looking at ...

We give a functional central limit theorem for spatial birth and death processes based on the representation of such processes as solutions of stochastic equations. For any bounded and integrable ...

Weak convergence results are obtained for empirical processes indexed by classes $\mathscr{F}$ of functions in the case of infinitely divisible purely Poisson (in particular, stable) Radon limits, ...