Asymmetric Triangular Range Distribution

(cp dist for equations)

 

Usage:

TriangularEnd3Dist (x, m, a, b)

Definition:

2(x-a)/((b-a)(m-a))  for a <= x <= m,

2(b-x)/((b-a)(b-m))  for m <= x <= b

Required:

 a £ m £ b       a ¹ b

Support:

 a £ x £ b

Moments:

m = (a + b + m) / 3

s^2 = (a^2 + b^2 + m^2 - ab - am - bm) / 18

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

See also Triangular3Dist , and TriangularDist.