In probability theory and statistics, the logistic distribution is a continuous probability distribution. Its cumulative distribution function is the logistic function, which appears in logistic regression and feedforward neural networks. It resembles the normal distribution in shape but has heavier tails (higher kurtosis). The logistic distribution is a special case of the Tukey lambda distribution.
^Norton, Matthew; Khokhlov, Valentyn; Uryasev, Stan (2019). "Calculating CVaR and bPOE for common probability distributions with application to portfolio optimization and density estimation" (PDF). Annals of Operations Research. 299 (1–2). Springer: 1281–1315. doi:10.1007/s10479-019-03373-1. Retrieved 2023-02-27.
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statistics, the logisticdistribution is a continuous probability distribution. Its cumulative distribution function is the logistic function, which appears...
The term generalized logisticdistribution is used as the name for several different families of probability distributions. For example, Johnson et al...
In statistics, the logistic model (or logit model) is a statistical model that models the log-odds of an event as a linear combination of one or more independent...
distribution. This is useful because the difference of two Gumbel-distributed random variables has a logisticdistribution. The Gumbel distribution is...
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...
generalized logisticdistribution The generalized normal distribution The geometric stable distribution The Gumbel distribution The Holtsmark distribution, an...
function is the quantile function associated with the standard logisticdistribution. It has many uses in data analysis and machine learning, especially...
In statistics, multinomial logistic regression is a classification method that generalizes logistic regression to multiclass problems, i.e. with more than...
X} follows log-logisticdistribution, i.e. the random variable ln ( 1 + X ) {\displaystyle \ln(1+X)} follows the logisticdistribution with p.d.f. f...
The Kaniadakis Logisticdistribution (also known as κ-Logisticdistribution) is a generalized version of the Logisticdistribution associated with the Kaniadakis...
the Cauchy, Student's t, and logisticdistributions). For other names, see Naming. The univariate probability distribution is generalized for vectors in...
Singh–Maddala distribution and is one of a number of different distributions sometimes called the "generalized log-logisticdistribution". The Burr (Type...
follows a logisticdistribution with location log(λ) and scale 1.0. This implies that a Lomax(shape = 1.0, scale = λ)-distribution equals a log-logistic distribution...
exhibits chaos Logistic regression, a statistical model using the logistic function Logit, the inverse of the logistic function Logisticdistribution, the derivative...
regression Log-log plot Log-logisticdistribution Logarithmic distribution Logarithmic mean LogisticdistributionLogistic function Logistic regression Logit Logit...
logisticdistributions are, in a way, arbitrary points in a spectrum of distributions which would work well. In practice, both of these distributions...
one may for example select the normal distribution, the logisticdistribution, or the Student's t-distribution. The first two are very similar, while...
common in statistics as cumulative distribution functions (which go from 0 to 1), such as the integrals of the logistic density, the normal density, and...
mode include the logisticdistribution, hyperbolic secant distribution, and the Champernowne distribution. The Laplace distribution is easy to integrate...
Fisher–Tippett–Gnedenko theorem Logisticdistribution Rosin–Rammler distribution for particle size analysis Rayleigh distribution Stable count distribution Bowers, et. al...
distribution, Laplace distribution, exponential distribution, Poisson distribution and the logisticdistribution. Such distributions are sometimes termed...