Examples of 'exponential family' in a sentence
Meaning of "exponential family"
This phrase is often used in the context of statistics and probability theory. It refers to a class of probability distributions that has certain mathematical properties and can be described using a specific mathematical form. The phrase implies a specific family of probability distributions that exhibit exponential relationships or properties. The exponential family includes many commonly used distributions, such as the normal distribution, exponential distribution, and Poisson distribution
How to use "exponential family" in a sentence
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exponential family
Exponential family of distributions and generalized linear models.
Belongs to the natural exponential family.
The exponential family format is given by.
This family is an exponential family.
An exponential family of probability distributions.
A conjugate prior π for the parameter of an exponential family is given by.
Examples of exponential family distributions.
The residuals come from a distribution in the exponential family.
All members of the exponential family have conjugate priors.
Exponential family form.
Compound distributions derived from exponential family distributions often have a closed form.
The Bernoulli distribution is a member of the exponential family.
This is an exponential family which can be written in canonical form by defining.
The Weibull distribution with fixed shape parameter k is an exponential family.
Any member of that exponential family has cumulative distribution function.
See also
The family of Pareto distributions with a fixed minimum bound xm form an exponential family.
Or of exponential family.
Definition = = The following is a sequence of increasingly more general definitions of an exponential family.
Normal distributions belongs to an exponential family with natural parameters and, and natural statistics x and x2.
Exponential family Partition function ( statistical mechanics ).
The analytic framework is based on Exponential family Random Graph Models ( ergm ).
Hence an exponential family in its " natural form " ( parametrized by its natural parameter ) looks like.
These distributions are collectively referred to as exponential family or e { \ displaystyle e } - family.
If η ( θ ) θ, then the exponential family is said to be in canonical form.
The Bernoulli distributions for formula 23 form an exponential family.
Estimates of AIC for GLMMs based on certain exponential family distributions have recently been obtained . [ 5 ].
The Bernoulli distributions for 0 \ le p \ le 1 form an exponential family.
The Rényi entropies and divergences for an exponential family admit simple expressions [ 13 ].
We assume that p ( r ; s ) belongs to the exponential family.
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