SHORT COURSE:

Description

Course Files

<< Courses Home Page

<< Home Page

BEYOND BETA :

Short Course Description:

This short course is devoted to the topic of univariate continuous distributions on a bounded domain other than the beta distribution, in particular those that used the two-sided framework of distributions introduced by Kotz and van Dorp in the book "Beyond Beta".

As early as 1919, E. Pairman and K. Pearson recognized the topic of continuous distribution on a limited range to be an important aspect of statistical theory. However, even in the late nineties of the 20-th century only a relative few number of probabilistic models of this kind were available. Amongst them, the uniform, triangular and beta distributions are the most widely explored and used, interspersed by some "curious" distributions posed occasionally as problems or exercises. Other bounded continuous distributions were based on mathematical transformations of the normal distribution (with an unbounded domain) - the most wide-spread amongst them is still the Johnson family of transformations introduced in 1949.

The presentations in this short course are based on the chapters in the book Beyond Beta and some later work dispersed in various journal publications/manuscripts.