The Weibull distribution with fixed shape parameter k is an exponential family.

This implies that it is similar to the Weibull distributions, substituting and .

Mudholkar et al. (1995) applied the exponentiated Weibull distribution to model failure data.

This leads to an easily implemented numerical scheme for simulating a Weibull distribution.

This rule does not hold for the unimodal Weibull distribution.

This arises because the Weibull distribution is used in cases that deal with the minimum rather than the maximum.

The Weibull distribution is close to a normal distribution.

It does take long-range dependencies into account, and uses the Weibull distribution.

If then the generalized gamma distribution becomes the Weibull distribution.

In 1939 he published his paper on Weibull distribution in probability theory and statistics.