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StatsTriangularCDF

StatsTriangularCDF (x, a, b, c)

The StatsTriangularCDF function returns the triangular cumulative distribution function.

F(x;a,b,c)={0xa(xa)2(ba)(ca)a<xc1(bx)2(ba)(bc)c<x<b1xbF(x ; a, b, c)=\left\{\begin{array}{cc} 0 & x \leq a \\ \\ \displaystyle \frac{(x-a)^{2}}{(b-a)(c-a)} & a<x \leq c \\ \\ 1-\displaystyle \frac{(b-x)^{2}}{(b-a)(b-c)} & c<x<b \\ \\ 1 & x \geq b \end{array}\right.

where a < c < b.

See Also

Statistical Analysis, StatsTriangularPDF, StatsInvTriangularCDF