How to interpret the shape parameter

The shape parameter of a distribution determines the shape of distribution function. The shape is either estimated from the data or specified based on historical process knowledge.

The shape parameter defines how your data are distributed, but does not affect the location or scale of your distribution. A larger shape value gives a left-skewed curve, whereas a smaller shape values gives a right-skewed curve.

Effect of the shape parameter for a Weibull distribution

This graph shows the effect of the different values of the shape parameter on the Weibull distribution.

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