On General Continuous Triangular and Two-sided Power Distributions

Abstract

In this article, we directly introduce the continuous version of the general discrete triangular distributions . It is bounded and, in general, unimodal with pike. It contains thus a very useful class of two-sided power distributions Kotz, 2002a,b, 2003). Moments, particular cases, limit distributions, and relations between parameters are straightforwardly derived.

Generating discrete analogues of continuous probability distributions-A survey of methods and constructions

“…For more on general continuous triangular and two-sided power distributions see Zocchi and Kokonendji (2013) and for application of discrete triangular distribution in kernel estimation for discrete functions see Kokonendji and Zocchi (2010).…”