the gamma distribution is a versatile two-parameter family of continuous probability distributions. The exponential distribution, Erlang distribution, and...
60 KB (8,717 words) - 19:52, 20 August 2024
inverse gamma distribution is a two-parameter family of continuous probability distributions on the positive real line, which is the distribution of the...
11 KB (1,621 words) - 19:42, 11 September 2024
exponential distribution as one of its members, but also includes many other distributions, like the normal, binomial, gamma, and Poisson distributions. The...
42 KB (6,567 words) - 10:39, 19 June 2024
gamma–Poisson (mixture) distribution. The negative binomial distribution was originally derived as a limiting case of the gamma-Poisson distribution....
57 KB (8,530 words) - 13:34, 18 July 2024
{\displaystyle f(x;x_{0},\gamma )} is the distribution of the x-intercept of a ray issuing from ( x 0 , γ ) {\displaystyle (x_{0},\gamma )} with a uniformly...
45 KB (6,843 words) - 22:08, 3 August 2024
{\displaystyle \gamma _{2}={\frac {-6\Gamma _{1}^{4}+12\Gamma _{1}^{2}\Gamma _{2}-3\Gamma _{2}^{2}-4\Gamma _{1}\Gamma _{3}+\Gamma _{4}}{[\Gamma _{2}-\Gamma _{1}^{2}]^{2}}}}...
38 KB (5,764 words) - 06:49, 10 September 2024
generalized gamma distribution is a continuous probability distribution with two shape parameters (and a scale parameter). It is a generalization of the gamma distribution...
8 KB (1,208 words) - 04:44, 26 May 2024
chi-squared distribution χ k 2 {\displaystyle \chi _{k}^{2}} is a special case of the gamma distribution and the univariate Wishart distribution. Specifically...
44 KB (6,541 words) - 02:45, 29 August 2024
the normal-gamma distribution (or Gaussian-gamma distribution) is a bivariate four-parameter family of continuous probability distributions. It is the...
13 KB (2,586 words) - 23:14, 8 December 2023
normal-inverse-gamma distribution (or Gaussian-inverse-gamma distribution) is a four-parameter family of multivariate continuous probability distributions. It is...
12 KB (2,039 words) - 15:49, 7 January 2024
The variance-gamma distribution, generalized Laplace distribution or Bessel function distribution is a continuous probability distribution that is defined...
5 KB (481 words) - 01:40, 27 June 2024
)={\frac {\Gamma (\alpha K)}{\Gamma (\alpha )^{K}}}\prod _{i=1}^{K}x_{i}^{\alpha -1}.} When α=1[1], the symmetric Dirichlet distribution is equivalent...
41 KB (6,539 words) - 11:38, 8 August 2024
generate random variates with compound gamma, or beta prime distributions. Another is via the ratio of independent gamma variates, as shown below.) If X ∼...
12 KB (2,160 words) - 21:08, 27 April 2024
inverse gamma distribution is the conjugate prior distribution of the variance of a Gaussian distribution. As a result, the location-scale t distribution arises...
55 KB (6,344 words) - 06:27, 13 September 2024
inverse-gamma distribution The generalized gamma distribution The generalized Pareto distribution The Gamma/Gompertz distribution The Gompertz distribution The...
22 KB (2,609 words) - 12:49, 10 February 2024
the mean, and a vague prior probability (such as an exponential or gamma distribution) over the positive reals for the sample size, if they are independent...
243 KB (40,380 words) - 08:10, 19 June 2024
that the product of two independent Gamma-distributed samples (~Gamma(α,1) and Gamma(β,1)) has a K-distribution: f ( z , α , β ) = 2 Γ ( α ) − 1 Γ (...
36 KB (7,762 words) - 08:27, 20 June 2024
distribution Chi-square distribution Chow test Gamma distribution Hotelling's T-squared distribution Wilks' lambda distribution Wishart distribution Modified half-normal...
14 KB (2,382 words) - 09:06, 17 September 2024
{\displaystyle W=\mu +\sigma (Y^{-1}-1)^{\gamma },\qquad \sigma >0,\gamma >0,} then W has a Feller–Pareto distribution FP(μ, σ, γ, γ1, γ2). If U 1 ∼ Γ ( δ 1...
47 KB (6,046 words) - 20:48, 3 August 2024
In statistics, the Wishart distribution is a generalization of the gamma distribution to multiple dimensions. It is named in honor of John Wishart, who...
27 KB (4,173 words) - 09:02, 14 August 2024
Generalized Gamma distribution (or κ-Generalized Gamma distribution) is a four-parameter family of continuous statistical distributions, supported on...
8 KB (1,104 words) - 09:26, 18 November 2023
In statistics, a matrix gamma distribution is a generalization of the gamma distribution to positive-definite matrices. It is effectively a different parametrization...
3 KB (194 words) - 19:03, 13 December 2023
{\displaystyle k=1} , the distribution simplifies to the exponential distribution. The Erlang distribution is a special case of the gamma distribution in which the...
15 KB (1,944 words) - 02:39, 21 June 2024
Binomial distribution Compound Poisson distribution Conway–Maxwell–Poisson distribution Erlang distribution Exponential distribution Gamma distribution Hermite...
81 KB (11,248 words) - 16:53, 25 August 2024
In probability and statistics, the Gamma/Gompertz distribution is a continuous probability distribution. It has been used as an aggregate-level model of...
6 KB (586 words) - 08:04, 3 June 2024
to a chi distribution with k {\displaystyle k} degrees of freedom chi distribution is a special case of the generalized gamma distribution or the Nakagami...
10 KB (1,733 words) - 07:08, 7 September 2024
lowercase gamma are Γ and γ. Greek Gamma Coptic Gamma Latin Gamma / phonetic Gamma CJK Square Gamma Technical / Mathematical Gamma These characters...
12 KB (1,150 words) - 10:59, 4 August 2024
E(X+Y)=2\alpha +2\beta \gamma \neq 2\alpha =E\left(\mathrm {Logistic} (2\alpha ,\beta )\right)} . More generally, the distribution of linear combinations...
16 KB (2,293 words) - 09:09, 13 July 2024
Increments of Laplace motion or a variance gamma process evaluated over the time scale also have a Laplace distribution. A random variable has a Laplace (...
21 KB (3,033 words) - 00:11, 6 June 2024
\Gamma \left(N,{\frac {1}{2\sigma ^{2}}}\right).} The Rice distribution is a noncentral generalization of the Rayleigh distribution: R a y l e...
16 KB (2,183 words) - 11:03, 20 July 2024