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 ≠ b

Support:

a ⋜ x ⋜ b

Moments:

μ = (a + b + m) / 3

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