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.

Central Limit Theorem, or CLT, is a statistical theory stating that as the size of a sample grows, the results tend to approximate a normal distribution of results. Read more here.

We show that a centered, second-order stochastic process satisfies the central limit theorem in the topology of uniform convergence if and only if it has bounded sample paths and there exists totally ...

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 ...

Central Limit Theorem (CLT): A fundamental theorem stating that the sum of a large number of independent random variables, under certain conditions, converges to a normal distribution.

The method of proof makes novel application of a functional central limit theorem for empirical processes--a generalization of Donsker's theorem due to Dudley. The purpose of The Annals of Probability ...

[2] Stein’s method for normal approximation in Wasserstein distances with application to the multivariate central limit theorem. Probability Theory and Related Fields (2020).