`scipy.stats._continuous_distns:weibull_min_gen`

source: build-install/usr/lib/python3.14/site-packages/scipy/stats/_continuous_distns.py:2752

Signature

class weibull_min_gen(momtype = 1, a = None, b = None, xtol = 1e-14, badvalue = None, name = None, longname = None, shapes = None, seed = None)

Members

Summary

Weibull minimum continuous random variable.

Extended Summary

The Weibull Minimum Extreme Value distribution, from extreme value theory (Fisher-Gnedenko theorem), is also often simply called the Weibull distribution. It arises as the limiting distribution of the rescaled minimum of iid random variables.

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Notes

The probability density function for weibull_min is:

f (x, c) = c x^{c - 1} exp (- x^{c})

for $x > 0$ , $c > 0$ .

weibull_min takes c as a shape parameter for $c$ . (named $k$ in Wikipedia article and $a$ in numpy.random.weibull). Special shape values are $c = 1$ and $c = 2$ where Weibull distribution reduces to the expon and rayleigh distributions respectively.

Suppose X is an exponentially distributed random variable with scale s. Then Y = X**k is weibull_min distributed with shape c = 1/k and scale s**k.

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Aliases

scipy.stats._continuous_distns.weibull_min_gen