Asymmetric Triangular Distribution |
(continuous prob. dist. for equations) |
Usage: |
Triangular3Dist (x, m, w1, w2) |
Definition: |
2(x-m+w1)/(w1(w1+w2)) for m-w1 ⋜ x ⋜ m 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-w1 ⋜ x ⋜ m+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.