In probability and statistics, an exponential family is a parametric set of probability distributions of a certain form, specified below. This special...

natural exponential family (NEF) is a class of probability distributions that is a special case of an exponential family (EF). The natural exponential families...

In probability theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the distance...

Look up exponential or exponentially in Wiktionary, the free dictionary. Exponential may refer to any of several mathematical topics related to exponentiation...

plugged in. Most, but not all, common families of distributions are exponential families. Exponential families have a large number of useful properties...

Exponential smoothing or exponential moving average (EMA) is a rule of thumb technique for smoothing time series data using the exponential window function...

probability and statistics, the class of exponential dispersion models (EDM), also called exponential dispersion family (EDF), is a set of probability distributions...

distribution The Marshall–Olkin exponential distribution The continuous-categorical distribution, an exponential family supported on the simplex that generalizes...

Exponential Random Graph Models (ERGMs) are a family of statistical models for analyzing data from social and other networks. Examples of networks examined...

distribution is a versatile two-parameter family of continuous probability distributions. The exponential distribution, Erlang distribution, and chi-squared...

the weights in the exponential moving average which follows. An exponential moving average (EMA), also known as an exponentially weighted moving average...

particular since most common probability distributions—notably the exponential family—are only logarithmically concave, and concavity of the objective function...

=g^{-1}(\eta )} . An overdispersed exponential family of distributions is a generalization of an exponential family and the exponential dispersion model of distributions...

theorem, among families of probability distributions whose domain does not vary with the parameter being estimated, only in exponential families is there a...

strongly discouraged. For error distributions that belong to the exponential family, a link function may be used to transform the parameters under the...

problems for which the theorem holds. In particular, the one-dimensional exponential family of probability density functions or probability mass functions with...

It is also sometimes called the double exponential distribution, because it can be thought of as two exponential distributions (with an additional location...

algorithm can be very inefficient. The Natural Exponential Family (if it exists), also known as exponential tilting, provides a class of proposal distributions...

equation Exponential dispersion model Exponential distribution Exponential error Exponential factorial Exponential family Exponential field Exponential formula...

different exponential tiltings of a random variable X {\displaystyle X} is known as the natural exponential family of X {\displaystyle X} . Exponential Tilting...

from an exponential family with identity as its natural sufficient statistics and mild-conditions are satisfied (e.g. for normal, exponential, Poisson...

for the network. Any positive Markov random field can be written as exponential family in canonical form with feature functions f k {\displaystyle f_{k}}...

an exponentially modified Gaussian distribution (EMG, also known as exGaussian distribution) describes the sum of independent normal and exponential random...

The family of normal distributions not only forms an exponential family (EF), but in fact forms a natural exponential family (NEF) with quadratic...

proof established the EM method's convergence also outside of the exponential family, as claimed by Dempster–Laird–Rubin. The EM algorithm is used to find...

cases of the Panjer distribution. They are also members of a natural exponential family. Suppose p is unknown and an experiment is conducted where it is decided...

general result whenever the prior distributions are members of the exponential family, which is the case for most of the standard distributions. The above...

communication theory. The Rényi entropies and divergences for an exponential family admit simple expressions H α ( p F ( x ; θ ) ) = 1 1 − α ( F ( α θ...

factor analysis Exponential dispersion model Exponential distribution Exponential family Exponential-logarithmic distribution Exponential power distribution –...

normal distribution belongs to the statistical exponential families. Tsallis entropy for an exponential family can be written as H q T ( p F ( x ; θ ) ) =...