| Definition |
With β=1 the Weibull distribution becomes the exponential distribution (which means that the exponential distribution can be applied to problems having a constant failure rate, while the Weibull distribution can handle situations with increasing or falling failure rates, as well). |
| Graphic Representation |
The figure at the right shows the Weibull distribution for various β value, holding η constant at η=200.
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| Applications |
The Weibull distribution occurs mainly when investigating the mean time to failure of materials.
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| Mean |
μ = ηΓ(1+1/β) |
| Variance |
σ2 = η2[Γ(1+2/β) - Γ2(1+1/β)] |
Univariate Data 
