Using the central limit theorem concerning the distribution of means allows one to justify the assumption of the normal distribution. Analytical people tend not to worry too much about the nature of ...

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 ...

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 ...

This paper is concerned with the limiting spectral behaviors of large dimensional Kendall’s rank correlation matrices generated by samples with independent and continuous components. The statistical ...