Asymmetric Triangular Distribution

(continuous prob. dist. for equations)

Usage:

Triangular3Dist (x, m, w1, w2)

Definition:

2(x-m+w1)/(w1(w1+w2))  for m-w1xm

2(m+w2-x)/(w2(w1+w2))  for m ⋜ x ⋜ m+w2

Required:

w1 ⋝ 0    w2 ⋝ 0    w1 & w2 can't both be 0

Support:

m-w1xm+w2

Moments:

μ = m + (w2 –w1) / 3

The pdf has a triangular shape, with the highest point at x=m, and nonzero value from m-w1 to m+w2.

See also TriangularDist , and TriangularEnd3Dist.