The 2 Parameter Weibull Distribution 7 Formulas

The 2 Parameter Weibull Distribution 7 Formulas

This is part of a short series on the common life data distributions.

The Weibull distribution is both popular and useful. It has some nice features and flexibility that support its popularity. This short article focuses on 7 formulas of the Weibull Distribution.

If you want to know more about fitting a set of data to a distribution, well that is in another article.

It has the essential formulas that you may find useful when answering specific questions. Knowing a distribution’s set of parameters does provide, along with the right formulas, a quick means to answer a wide range of reliability related questions.

Parameters

The 2-parameter Weibull distribution has a scale and shape parameter. The 3-parameter Weibull includes a location parameter.

The scale parameter is denoted here as eta (η). It is defined as the value at the 63.2th percentile and is units of time (t).

The shape parameter is denoted here as beta (β). It is also known as the slope which is obvious when viewing a linear CDF plot.

One the nice properties of the Weibull distribution is the value of β provides some…