Central Limit Theorem: A sampling distribution of the mean is approximately normally distributed if the sample size is sufficiently large. This is true no matter what the population distribution is.

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.

In this paper we introduce the transformed two-parameter Poisson—Dirichlet distribution $\Pi _{\theta,\alpha}^{\sigma}$ on the ordered infinite simplex. Furthermore, we prove the central limit theorem ...