Life Data Analysis (Weibull Analysis)

Visual Demonstration of the Effect of Parameters on the Distribution

As a supplement to the Life Data Analysis Basics quick subject guide, these three plots demonstrate the effect of the shape, scale and location parameters on the Weibull distribution probability density function (pdf).

Other life distributions have one or more parameters that affect the shape, scale and/or location of the distribution in a similar way. For example, the 2-parameter exponential distribution is affected by the scale parameter, (lambda) and the location parameter, (gamma). The shape of the exponential distribution is always the same.

Weibull Shape Parameter 

This plot demonstrates the effect of the shape parameter,  (beta), on the Weibull distribution.

Weibull Parameters: Effect of the shape parameter beta on the Weibull distribution

Weibull Scale Parameter 

This plot demonstrates the effect of the scale parameter, (eta), on the Weibull distribution.

Weibull Parameters: Effect of the scale parameter eta on the Weibull distribution

Weibull Location Parameter 

This plot demonstrates the effect of the location parameter, (gamma), on the Weibull distribution.

Weibull Parameters: Effect of the location parameter gamma on the Weibull distribution

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