##  [Exponential Family](/exponential-family) 

  ##  [Exponential Family](https://natural.quantumdictionary.io/exponential-family-0) 

  

 [![Natural & Formal Sciences Dictionary](/sites/default/files/styles/large/public/2026-01/Natural%20%26%20Formal%20Sciences.png.webp?itok=2kCDRVQv)](/topic-specific-dictionaries/natural-formal-sciences)



**Natural & Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A class of probability distributions whose densities (with respect to a dominating measure) can be written in canonical form p(x|η) = h(x) exp(η·T(x) − A(η)), where η is the natural parameter, T(x) the sufficient statistic, and A the log-partition function.