Search for "Exponential family distributions" in article titles:

1. Exponential family of probability distributions: A certain model (i.e., a set of probability distributions on the same measurable space) in statistics which is widely used and studied for two reasons: i) many classical models are actually exponential families; ii) most of the classical methods ... (Mathematics) [100%] 2023-10-26
2. Natural exponential family of probability distributions: Given a finite-dimensional real linear space $E$, denote by $E ^ { * }$ the space of linear forms $\theta$ from $E$ to $\mathbf{R}$. Let $\mathcal{M} ( E )$ be the set of positive Radon measures $\mu$ on $E$ with the following two ... (Mathematics) [91%] 2023-10-25

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1. Exponential distribution: A continuous distribution of a random variable $ X $ defined by the density $$ \tag{1 } p( x) = \left \{ \begin{array}{ll} \lambda e ^ {- \lambda x } , & x \geq 0 , \\ 0 , & x < 0. \\ \end{array} \right. (Mathematics) [100%] 2023-09-16 [Distribution theory]
2. Exponential distribution: The exponential distribution is any member of a class of continuous probability distributions assigning probability to the interval [x, ∞), for x ≥ 0. It is well suited to model lifetimes of things that don't "wear out", among other things. [100%] 2023-06-24
3. Exponential family: In probability and statistics, an exponential family is a parametric set of probability distributions of a certain form, specified below. This special form is chosen for mathematical convenience, including the enabling of the user to calculate expectations, covariances using differentiation ... (Family of probability distributions related to the normal distribution) [97%] 2023-12-18 [Exponentials] [Continuous distributions]...
4. Exponential family: In probability and statistics, an exponential family is a parametric set of probability distributions of a certain form, specified below. This special form is chosen for mathematical convenience, based on some useful algebraic properties, as well as for generality, as ... (Family of probability distributions related to the normal distribution) [97%] 2021-12-22 [Exponentials] [Continuous distributions]...
5. Kaniadakis exponential distribution: The Kaniadakis exponential distribution (or κ-exponential distribution) is a probability distribution arising from the maximization of the Kaniadakis entropy under appropriate constraints. It is one example of a Kaniadakis distribution. [81%] 2023-04-22 [Probability distributions] [Mathematical and quantitative methods (economics)]...
6. Exponential-logarithmic distribution: In probability theory and statistics, the Exponential-Logarithmic (EL) distribution is a family of lifetime distributions with decreasing failure rate, defined on the interval [0, ∞). This distribution is parameterized by two parameters \displaystyle{ p\in(0,1) }[/math] and \displaystyle ... (Family of lifetime distributions with decreasing failure rate) [81%] 2023-07-13 [Continuous distributions] [Survival analysis]...
7. Q-exponential distribution: The q-exponential distribution is a probability distribution arising from the maximization of the Tsallis entropy under appropriate constraints, including constraining the domain to be positive. It is one example of a Tsallis distribution. [81%] 2023-05-24 [Statistical mechanics] [Continuous distributions]...
8. Matrix-exponential distribution: In probability theory, the matrix-exponential distribution is an absolutely continuous distribution with rational Laplace–Stieltjes transform. They were first introduced by David Cox in 1955 as distributions with rational Laplace–Stieltjes transforms. (Absolutely continuous distribution with rational Laplace–Stieltjes transform) [81%] 2022-12-01 [Continuous distributions]
9. Q-exponential distribution: The q-exponential distribution is a probability distribution arising from the maximization of the Tsallis entropy under appropriate constraints, including constraining the domain to be positive. It is one example of a Tsallis distribution. [81%] 2024-12-04 [Statistical mechanics] [Continuous distributions]...
10. 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). The natural exponential families (NEF) are a subset of the exponential families. [79%] 2024-12-14 [Exponentials] [Types of probability distributions]...
11. Normal-exponential-gamma distribution: In probability theory and statistics, the normal-exponential-gamma distribution (sometimes called the NEG distribution) is a three-parameter family of continuous probability distributions. It has a location parameter \displaystyle{ \mu }[/math], scale parameter \displaystyle{ \theta }[/math] and a shape ... [70%] 2023-12-05 [Continuous distributions]
12. Marshall–Olkin exponential distribution: In applied statistics, the Marshall–Olkin exponential distribution is any member of a certain family of continuous multivariate probability distributions with positive-valued components. It was introduced by Albert W. [70%] 2023-02-25 [Continuous distributions] [Exponentials]...
13. Exponentially modified Gaussian distribution: In probability theory, an exponentially modified Gaussian distribution (EMG, also known as exGaussian distribution) describes the sum of independent normal and exponential random variables. An exGaussian random variable Z may be expressed as Z = X + Y, where X and Y ... (Describes the sum of independent normal and exponential random variables) [63%] 2022-08-11 [Continuous distributions]
14. Distributions, complete family of: A family of probability measures $\{ \mathbf{P}_\theta : \theta \in \Theta \subset \mathbf{R}^k \}$, defined on a measure space $(\mathfrak{X}, \mathfrak{B})$, for which the unique unbiased estimator of zero in the class of $\mathfrak{B}$-measurable ... (Mathematics) [61%] 2023-11-14
15. Distribution: Distribution One of the four elements of the marketing mix. The practise of making a product or service available to the consumer or business user who requires it is known as distribution. [61%] 2024-01-06
16. Distribution: A distribution of measurements or observations is the frequency of these measurements shown as a function of one or more variables, usually in the form of a histogram. Experimental distributions can thus be compared to theoretical probability density functions. [61%] 2023-09-25 [W.Krisher and R.Bock] [Data analysis]...
17. Distribution: In functional analysis: the same as a generalized function. In probability and statistics: the way to describe probability of random variables taking certain values, see Distribution function; Distribution law; Distribution, type of. In differential geometry and topology: Distribution of tangent ... (Mathematics) [61%] 2023-12-19
18. Distribution (mathematics): Distributions, also known as Schwartz distributions or generalized functions, are objects that generalize the classical notion of functions in mathematical analysis. Distributions make it possible to differentiate functions whose derivatives do not exist in the classical sense. (Mathematics) [61%] 2024-01-06 [Articles containing proofs] [Functional analysis]...