• Thumbnail for Normal-inverse-gamma distribution
    probability theory and statistics, the normal-inverse-gamma distribution (or Gaussian-inverse-gamma distribution) is a four-parameter family of multivariate...
    12 KB (2,039 words) - 19:52, 19 May 2025
  • Thumbnail for Inverse-gamma distribution
    the inverse gamma distribution is a two-parameter family of continuous probability distributions on the positive real line, which is the distribution of...
    11 KB (1,632 words) - 09:32, 12 June 2025
  • statistics, the normal-gamma distribution (or Gaussian-gamma distribution) is a bivariate four-parameter family of continuous probability distributions. It is...
    13 KB (2,634 words) - 02:27, 22 December 2024
  • probability theory and statistics, the normal-inverse-Wishart distribution (or Gaussian-inverse-Wishart distribution) is a multivariate four-parameter family...
    8 KB (1,077 words) - 07:36, 23 March 2025
  • In statistics, the inverse matrix gamma distribution is a generalization of the inverse gamma distribution to positive-definite matrices. It is a more...
    3 KB (152 words) - 17:00, 10 June 2025
  • Thumbnail for Gamma distribution
    the gamma distribution is a versatile two-parameter family of continuous probability distributions. The exponential distribution, Erlang distribution, and...
    66 KB (9,100 words) - 06:11, 7 July 2025
  • The normal-inverse Gaussian distribution (NIG, also known as the normal-Wald distribution) is a continuous probability distribution that is defined as...
    7 KB (905 words) - 16:16, 10 June 2025
  • matrix of a multivariate normal distribution. We say X {\displaystyle \mathbf {X} } follows an inverse Wishart distribution, denoted as X ∼ W − 1 ( Ψ...
    20 KB (3,492 words) - 15:44, 5 June 2025
  • Thumbnail for Chi-squared distribution
    standard normal random variables. The chi-squared distribution χ k 2 {\displaystyle \chi _{k}^{2}} is a special case of the gamma distribution and the...
    45 KB (6,817 words) - 10:25, 19 March 2025
  • Thumbnail for Normal distribution
    the normal-inverse-gamma distribution, which is the product of the two distributions just defined, with conjugate priors used (an inverse gamma distribution...
    148 KB (21,701 words) - 22:41, 20 July 2025
  • theory and statistics, an inverse distribution is the distribution of the reciprocal of a random variable. Inverse distributions arise in particular in the...
    12 KB (1,718 words) - 22:17, 18 March 2025
  • Thumbnail for Student's t-distribution
    \tau ^{2}~.} The scaled-inverse-chi-squared distribution is exactly the same distribution as the inverse gamma distribution, but with a different parameterization...
    55 KB (6,423 words) - 06:46, 1 June 2025
  • Thumbnail for Inverse-chi-squared distribution
    {\displaystyle \Gamma } is the gamma function. The inverse chi-squared distribution is a special case of the inverse-gamma distribution. with shape parameter...
    5 KB (394 words) - 21:42, 12 October 2024
  • Thumbnail for Lévy distribution
    special case of the inverse-gamma distribution. It is a stable distribution. The probability density function of the Lévy distribution over the domain x...
    10 KB (1,371 words) - 22:22, 14 April 2024
  • approximately normal. The normal-exponential-gamma distribution The normal-inverse Gaussian distribution The Pearson Type IV distribution (see Pearson...
    22 KB (2,620 words) - 07:59, 2 May 2025
  • t-distribution, the Laplace distribution, the hyperbolic distribution, the normal-inverse Gaussian distribution and the variance-gamma distribution. G...
    7 KB (658 words) - 16:13, 10 June 2025
  • Thumbnail for Quantile function
    percent-point function, inverse cumulative distribution function (after the cumulative distribution function or c.d.f.) or inverse distribution function. With...
    17 KB (2,217 words) - 11:33, 12 July 2025
  • Thumbnail for Multivariate normal distribution
    normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization of the one-dimensional (univariate) normal distribution...
    65 KB (9,594 words) - 15:19, 3 May 2025
  • {\displaystyle \Gamma (\alpha +p)/\Gamma (\alpha )} . Z = Y − 1 {\displaystyle Z=Y^{-1}} is sampled from an inverse Gamma distribution with parameter β...
    53 KB (10,469 words) - 22:47, 25 June 2025
  • Thumbnail for Poisson distribution
    Binomial distribution Compound Poisson distribution Conway–Maxwell–Poisson distribution Erlang distribution Exponential distribution Gamma distribution Hermite...
    81 KB (11,215 words) - 13:20, 18 July 2025
  • Thumbnail for Cauchy distribution
    {\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...
    46 KB (6,910 words) - 18:35, 11 July 2025
  • including the half-normal distribution, truncated normal distribution, gamma distribution, and square root of the gamma distribution, all of which are...
    13 KB (1,797 words) - 21:22, 19 June 2025
  • Thumbnail for Generalized gamma distribution
    given set of data. Another example is the half-normal distribution. The generalized gamma distribution has two shape parameters, d > 0 {\displaystyle...
    8 KB (1,208 words) - 16:43, 7 November 2024
  • Thumbnail for Scaled inverse chi-squared distribution
    variance parameter of a normal distribution. The same prior in alternative parametrization is given by the inverse-gamma distribution. The probability density...
    12 KB (2,163 words) - 18:40, 9 March 2025
  • Thumbnail for Exponential distribution
    exponential distribution as one of its members, but also includes many other distributions, like the normal, binomial, gamma, and Poisson distributions. The...
    43 KB (6,647 words) - 17:34, 15 April 2025
  • Thumbnail for Probability distribution
    matrix; conjugate to the inverse of the covariance matrix of a multivariate normal distribution; generalization of the gamma distribution The cache language...
    48 KB (6,688 words) - 17:43, 6 May 2025
  • Thumbnail for Beta distribution
    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...
    245 KB (40,559 words) - 20:35, 30 June 2025
  • probability distributions include the purely continuous normal, gamma and inverse Gaussian distributions, the purely discrete scaled Poisson distribution, and...
    52 KB (6,934 words) - 16:45, 21 July 2025
  • Bayesian statistics, the Wishart distribution is the conjugate prior of the inverse covariance-matrix of a multivariate-normal random vector. Suppose G is...
    27 KB (4,255 words) - 06:33, 6 July 2025
  • generalized normal distribution (GND) or generalized Gaussian distribution (GGD) is either of two families of parametric continuous probability distributions on...
    24 KB (2,792 words) - 20:47, 10 July 2025