The term generalized logistic distribution is used as the name for several different families of probability distributions. For example, Johnson et al...

statistics, the logistic distribution is a continuous probability distribution. Its cumulative distribution function is the logistic function, which appears...

statistics, the log-logistic distribution (known as the Fisk distribution in economics) is a continuous probability distribution for a non-negative random...

the generalized logistic distribution, but this conflicts with other uses of the term: see generalized logistic distribution. The shifted log-logistic distribution...

'(\alpha ,\beta )} , then ln ⁡ X {\displaystyle \ln X} has a generalized logistic distribution. More generally, if X ∼ β ′ ( α , β , p , q ) {\displaystyle...

variables. The generalized logistic distribution The generalized normal distribution The geometric stable distribution The Gumbel distribution The Holtsmark...

log-odds or logistic model. Generalized linear models cover all these situations by allowing for response variables that have arbitrary distributions (rather...

binary logistic regression generalized to multinomial logistic regression. If the multiple categories are ordered, one can use the ordinal logistic regression...

theory and statistics, the generalized extreme value (GEV) distribution is a family of continuous probability distributions developed within extreme value...

statistics, the Gumbel distribution (also known as the type-I generalized extreme value distribution) is used to model the distribution of the maximum (or...

Cauchy, Student's t, and logistic distributions). (For other names, see Naming.) The univariate probability distribution is generalized for vectors in the multivariate...

A logistic function or logistic curve is a common S-shaped curve (sigmoid curve) with the equation f ( x ) = L 1 + e − k ( x − x 0 ) {\displaystyle f(x)={\frac...

If instead one normalizes generalized gamma variates, one obtains variates from the simplicial generalized beta distribution (SGB). On the other hand,...

log ⁡ X 1 − X {\displaystyle Y=\log {\frac {X}{1-X}}} has a generalized logistic distribution, with density σ ( y ) α σ ( − y ) β B ( α , β ) {\displaystyle...

In statistics, multinomial logistic regression is a classification method that generalizes logistic regression to multiclass problems, i.e. with more than...

Gaussian distribution Generalized least squares Generalized linear array model Generalized linear mixed model Generalized linear model Generalized logistic distribution...

Singh–Maddala distribution and is one of a number of different distributions sometimes called the "generalized log-logistic distribution". The Burr (Type...

function is the quantile function associated with the standard logistic distribution. It has many uses in data analysis and machine learning, especially...

follow a multivariate normal distribution. If the errors do not follow a multivariate normal distribution, generalized linear models may be used to relax...

The symmetric generalized normal distribution, also known as the exponential power distribution or the generalized error distribution, is a parametric...

the distributional parameters, including the log-normal, Gamma, generalized Pareto, generalized extreme value, and generalized logistic distributions. The...

Weibull distribution with shape parameter greater than 0 but less than 1; the Burr distribution; the log-logistic distribution; the log-gamma distribution; the...

The Kaniadakis Logistic distribution (also known as κ-Logisticdistribution) is a generalized version of the Logistic distribution associated with the Kaniadakis...

mode include the logistic distribution, hyperbolic secant distribution, and the Champernowne distribution. The Laplace distribution is easy to integrate...

\operatorname {Logistic} (\mu ,\beta )} , the logistic distribution μ − β log ⁡ ( X i X j ) ∼ Logistic ⁡ ( μ , β ) {\displaystyle \mu -\beta \log \left({\frac...

X} follows log-logistic distribution, i.e. the random variable ln ⁡ ( 1 + X ) {\displaystyle \ln(1+X)} follows the logistic distribution with p.d.f. f...

distribution. This model is popular because it models the Poisson heterogeneity with a gamma distribution. Poisson regression models are generalized linear...

Student's t distribution (or simply the t distribution) t ν {\displaystyle t_{\nu }} is a continuous probability distribution that generalizes the standard...

probability distribution of K possible outcomes. It is a generalization of the logistic function to multiple dimensions, and is used in multinomial logistic regression...

{\Sigma }}} , also known as the generalized variance. The equation above reduces to that of the univariate normal distribution if Σ {\displaystyle {\boldsymbol...