# Reference results for Exponential_family from Search.com.

## Exponential family - Wikipedia, the free encyclopedia

https://en.wikipedia.org/wiki/Exponential_family

Definition. The following is a sequence of increasingly more general definitions of an exponential family. A casual reader may wish to restrict attention to the first ...

## Natural exponential family - Wikipedia, the free encyclopedia

https://en.wikipedia.org/wiki/Natural_exponential_family

In probability and statistics, a natural exponential family (NEF) is a class of probability distributions that is a special case of an exponential family (EF).

## Exponential Families - Princeton University Computer Science

www.cs.princeton.edu/.../cos597C/lectures/exponential-families.pdf

Exponential Families David M. Blei 1 Introduction We discuss the exponential family, a very exible family of distributions. Most distributions that you have heard of ...

## Exponential Family - Purdue University

www.stat.purdue.edu/~tlzhang/stat526/logistic.pdf

Exponential Family Suppose Y1, ,Yn are independent random variables. Let f(yi; θi,ϕ) be PMF or PDF of Yi, where ϕ is a scale parameter. If we can write

## The Exponential Family of Distributions

www.cs.columbia.edu/~jebara/4771/tutorials/lecture12.pdf

The Exponential Family of Distributions p(x)=h(x)eµ>T(x)¡A(µ) µ vector of parameters T(x) vector of “suf£cient statistics” A(µ) cumulant generating function

## A Primer on the Exponential Family of Distributions

www.casact.org/pubs/dpp/dpp04/04dpp117.pdf

A PRIMER ON THE EXPONENTIAL FAMILY OF DISTRIBUTIONS David R. Clark and Charles A. Thayer 2004 Call Paper Program on Generalized Linear Models

## 18 The Exponential Family and Statistical Applications

www.stat.purdue.edu/~dasgupta/expfamily.pdf

18 The Exponential Family and Statistical Applications The Exponential family is a practically convenient and widely used uniﬂed family of distributions

## LECTURE 11: EXPONENTIAL FAMILY AND GENERALIZED LINEAR MODELS

www.cs.princeton.edu/courses/archive/spr09/cos513/scribe/lecture11.pdf

LECTURE 11: EXPONENTIAL FAMILY AND GENERALIZED LINEAR MODELS 3 where x= (x 1;x 2; ;x N)>and PM k=1 k = 1. Following the same process as Bernoulli, we have: