Weibull 10 50 90

Weibull_10_50_90

Defines a translated Weibull distribution having the indicated 10-50-90 percentiles, if possible. A translated Weibull distribution has an underlying form Weibull(a,b)+c

Not all combinations of fractiles can be fit exactly. It can be shown that no Weibull distribution has fractiles satisfying [math]\displaystyle{ (x50-x10) / (x90-x50) \gt 1.569 }[/math]. Thus, if your fractiles have skew exceeding this limit, the resulting distribution will not fit the fractiles exactly. In that case, a distribution in the general vicinity is returned (i.e., it'll do the best it can)

Library

To use this function, you must first add the Distribution variations function library to your model.

See Also

• Weibull
• UncertainLMH
• Triangular10_50_90, Triangular10_mode_90
• Smooth_Fractile