Category:Definitions/Exponential Family of Distributions

This category contains definitions related to Exponential Family of Distributions.
Related results can be found in Category:Exponential Family of Distributions.

Let $P$ be a probability distribution.

$P$ is a member of the exponential family of distributions if and only if it has a probability density function of the form:

$\map f {x, h} = \map \exp {\map a x \map b h + \map c h + \map d x}$

where $h$ is a parameter whose value is to be determined.