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Asymmetric Triangular Range Distribution |
(cp dist for equations) |
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Usage: |
TriangularEnd3Dist (x, m, a, b) |
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Definition: |
2(x-a)/((b-a)(m-a)) for a <= x <= m, 2(b-x)/((b-a)(b-m)) for m <= x <= b |
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Required: |
a £ m £ b a ¹ b |
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Support: |
a £ x £ b |
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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.