PsiWeibull Distribution

PsiWeibull (a,β,...)

PsiWeibull (α,β) is a distribution with a finite lower bound of 0.  The Weibull distribution is quite flexible and can be used to model weather patterns, material strength, processing and delivery times, and in a variety of reliability engineering applications.

If X is a random variable with Weibull (1,β) distribution, then it also has the Exponential (β) distribution. In fact, a random variable X ~Weibull (α,β) if and only if Xα ~ Exponential (βα). Also, if X is a random variable with Weibull (2,β) distribution, then it also has the Rayleigh (β) distribution.

Alternate Formulation:  PsiWeibullAlt

PsiWeibullAlt is the PsiBetaGen distribution defined through alternative arguments.  One percentile parameter is required.