View source for Weibull 10 50 90

[[Category:Distribution Functions]]
[[Category:Distribution Variations library functions]]

== 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>(x50-x10) / (x90-x50) > 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 [[:Category:Distribution Variations library functions|Distribution variations]] function library to your model.

== See Also ==
* [[Weibull]]
* [[UncertainLMH]]
* [[Triangular10_50_90]], [[Triangular10_mode_90]]
* [[Smooth_Fractile]]