Definition: Shape parameter

Index: The Book of Statistical Proofs ▷ General Theorems ▷ Probability theory ▷ Probability distributions ▷ Shape parameter

Definition: Let $\mathcal{D}(\lambda, \chi)$ denote a family of probability distributions with statistical parameters $\lambda$ and $\chi$. Then, the parameter $\chi$ is referred to as a “shape parameter”, if it is neither a location parameter nor a scale parameter nor a function of these (such as a rate parameter).

 

Sources:

• Wikipedia (2025): "Shape parameter"; in: Wikipedia, the free encyclopedia, retrieved on 2025-03-14; URL: https://en.wikipedia.org/wiki/Shape_parameter.

Metadata: ID: D220 | shortcut: para-shape | author: JoramSoch | date: 2025-03-14, 15:19.