Exponential power distribution
- Exponential power distribution
The exponential power distribution, also known as the generalized error distribution, is a probability distribution that takes a scale parameter "a" and exponent (or shape parameter) "b". The probability density is
:
For "b" = 1 this reduces to the Laplace distribution. For "b" = 2 it is a normal distribution with .
Wikimedia Foundation.
2010.
Look at other dictionaries:
Exponential distribution — Not to be confused with the exponential families of probability distributions. Exponential Probability density function Cumulative distribution function para … Wikipedia
Exponential family — Not to be confused with the exponential distribution. Natural parameter links here. For the usage of this term in differential geometry, see differential geometry of curves. In probability and statistics, an exponential family is an important… … Wikipedia
Distribution mangagement system — SCADA systems have been a part of utility automation for at least 15 years and contributing to the decision making process of the control rooms. However, majority of the existing solutions are closely related to distribution network data… … Wikipedia
Power law — A power law is any polynomial relationship that exhibits the property of scale invariance. The most common power laws relate two variables and have the form:f(x) = ax^k! +o(x^k),where a and k are constants, and o(x^k) is of x. Here, k is… … Wikipedia
Noncentral t-distribution — Noncentral Student s t Probability density function parameters: degrees of freedom noncentrality parameter support … Wikipedia
Chi-squared distribution — This article is about the mathematics of the chi squared distribution. For its uses in statistics, see chi squared test. For the music group, see Chi2 (band). Probability density function Cumulative distribution function … Wikipedia
Probability distribution — This article is about probability distribution. For generalized functions in mathematical analysis, see Distribution (mathematics). For other uses, see Distribution (disambiguation). In probability theory, a probability mass, probability density … Wikipedia
Natural exponential family — In probability and statistics, the natural exponential family (NEF) is a class of probability distributions that is a special case of an exponential family (EF). Many common distributions are members of a natural exponential family, and the use… … Wikipedia
Noncentral chi-squared distribution — Noncentral chi squared Probability density function Cumulative distribution function parameters … Wikipedia
Noncentral F-distribution — In probability theory and statistics, the noncentral F distribution is a continuous probability distribution that is a generalization of the (ordinary) F distribution. It describes the distribution of the quotient (X/n1)/(Y/n2), where the… … Wikipedia