In probability and statistics, the class of exponential dispersion models (EDM), also called exponential dispersion family (EDF), is a set of probability distributions that represents a generalisation of the natural exponential family.[1][2][3]
Exponential dispersion models play an important role in statistical theory, in particular in generalized linear models because they have a special structure which enables deductions to be made about appropriate statistical inference.
^Jørgensen, B. (1987). Exponential dispersion models (with discussion). Journal of the Royal Statistical Society, Series B, 49 (2), 127–162.
^Jørgensen, B. (1992). The theory of exponential dispersion models and analysis of deviance. Monografias de matemática, no. 51.
^Marriott, P. (2005) "Local Mixtures and Exponential Dispersion
Models" pdf
and 27 Related for: Exponential dispersion model information
probability and statistics, the class of exponentialdispersionmodels (EDM), also called exponentialdispersion family (EDF), is a set of probability distributions...
distributions are a special case of exponentialdispersionmodels and are often used as distributions for generalized linear models. The Tweedie distributions...
An overdispersed exponential family of distributions is a generalization of an exponential family and the exponentialdispersionmodel of distributions...
Atmospheric dispersionmodeling is the mathematical simulation of how air pollutants disperse in the ambient atmosphere. It is performed with computer...
equation ExponentialdispersionmodelExponential distribution Exponential error Exponential factorial Exponential family Exponential field Exponential formula...
probability theory and statistics, the index of dispersion, dispersion index, coefficient of dispersion, relative variance, or variance-to-mean ratio (VMR)...
special case of exponentialdispersionmodels, a class of statistical models used to describe error distributions for the generalized linear model and characterized...
regression models in statistics. Examples include logistic regression using the binomial family and Poisson regression. Exponentialdispersionmodel Gibbs...
Atmospheric dispersionmodels are computer programs that use mathematical algorithms to simulate how pollutants in the ambient atmosphere disperse and...
In statistics, dispersion (also called variability, scatter, or spread) is the extent to which a distribution is stretched or squeezed. Common examples...
X i {\displaystyle Y=\sum _{i=1}^{N}X_{i}} is a reproductive exponentialdispersionmodel E D ( μ , σ 2 ) {\displaystyle ED(\mu ,\sigma ^{2})} with E ...
factor analysis ExponentialdispersionmodelExponential distribution Exponential family Exponential-logarithmic distribution Exponential power distribution –...
Exponential smoothing or exponential moving average (EMA) is a rule of thumb technique for smoothing time series data using the exponential window function...
samples under a Wright–Fisher neutral model. Bioinformatics 18:337–338 ^ Kendal WS (2003) An exponentialdispersionmodel for the distribution of human single...
and in some applications. A number of symmetrical, narrow dispersion, usually exponential horns can be combined in an array driven by a single driver...
variety of other distributions from the exponential family for the residuals. Of note, the general linear model is a special case of the GLM in which the...
statistical distributions known as the Tweedie exponentialdispersionmodels, as well as the geometric Tweedie models. The first convergence effect yields monofractal...
this is an errors-in-variables model, also outside this scope. Other examples of nonlinear functions include exponential functions, logarithmic functions...
or Rosin Rammler distribution, of which the exponential distribution is a special case, is used to model the lifetime of technical devices and is used...
(including the exponential distribution as a special case) can be parameterised as either a proportional hazards model or an AFT model, and is the only...
the weights in the exponential moving average which follows. An exponential moving average (EMA), also known as an exponentially weighted moving average...
studies of processes that change variances rather than means (called dispersion effects) have been successfully conducted using ANOVA. There are no necessary...
general property: an exponential family of distributions maximizes entropy, given an expected value. In the case of the logistic model, the logistic function...
and relative standard deviation (RSD), is a standardized measure of dispersion of a probability distribution or frequency distribution. It is defined...
Proportional hazards models are a class of survival models in statistics. Survival models relate the time that passes, before some event occurs, to one...
Global Information