In probability theory, a log-normal (or lognormal) distribution is a continuous probability distribution of a random variable whose logarithm is normally...

probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable...

generalized normal distribution (GND) or generalized Gaussian distribution (GGD) is either of two families of parametric continuous probability distributions on...

similar in shape to the log-normal distribution but has heavier tails. Unlike the log-normal, its cumulative distribution function can be written in closed...

establishing reference ranges can be based on assuming a normal distribution or a log-normal distribution, or directly from percentages of interest, as detailed...

measure of log-normal dispersion analogously to the geometric mean. As the log-transform of a log-normal distribution results in a normal distribution, we see...

the law. The ratio of two log normal distributions is a log normal so this distribution was not examined. Other distributions that have been examined include...

and statistics, the skew normal distribution is a continuous probability distribution that generalises the normal distribution to allow for non-zero skewness...

the half-normal distribution is a special case of the folded normal distribution. Let X {\displaystyle X} follow an ordinary normal distribution, N ( 0...

normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization of the one-dimensional (univariate) normal distribution...

linear least squares, and subsumes the log-logistic distribution as a special case. The log-normal distribution, describing variables which can be modelled...

The folded normal distribution is a probability distribution related to the normal distribution. Given a normally distributed random variable X with mean...

k log ⁡ x + log ⁡ a . {\displaystyle \log y=k\log x+\log a.} Setting X = log ⁡ x {\displaystyle X=\log x} and Y = log ⁡ y , {\displaystyle Y=\log y,}...

{\text{Pareto}}(x_{\text{m}},\alpha )} . The Pareto distribution and log-normal distribution are alternative distributions for describing the same types of quantities...

the log-normal distribution there are more options. This is due to the fact that it can be parameterized in terms of parameters on the natural and log scale...

distributed, then Y = logit(X)= log (X/(1-X)) is normally distributed. It is also known as the logistic normal distribution, which often refers to a multinomial...

such as the variance of a normal distribution. If k is a positive integer, then the distribution represents an Erlang distribution; i.e., the sum of k independent...

λ: Gas mean free path (cm) D50: Mass-median-diameter (MMD). The log-normal distribution mass median diameter. The MMD is considered to be the average particle...

approximately log-normal distribution. In such cases, a more accurate estimate, derived from the properties of the log-normal distribution, is defined as:...

{\displaystyle X_{2}} can be individually log-normally distributed without having a bivariate log-normal distribution. As of 2022-06-08 the Wikipedia article...

In probability theory, a log-t distribution or log-Student t distribution is a probability distribution of a random variable whose logarithm is distributed...

log-normal distributions. When the logarithm of a random variable has a normal distribution, the variable is said to have a log-normal distribution....

use, and includes all distributions encompassed by the alternative definitions, as well as those distributions such as log-normal that possess all their...

the normal distribution in shape but has heavier tails (higher kurtosis). The logistic distribution is a special case of the Tukey lambda distribution. The...

critical in determining whether a "distribution" is or is not an exponential family. The normal, exponential, log-normal, gamma, chi-squared, beta, Dirichlet...

entire size distribution, not just the largest cities, then the city size distribution is log-normal. The log-normality of the distribution reconciles...

Bayesian statistics, the Wishart distribution is the conjugate prior of the inverse covariance-matrix of a multivariate-normal random-vector. Suppose G is...

Bernoulli(p) distribution): D ( a ∥ p ) = ( a ) log ⁡ a p + ( 1 − a ) log ⁡ 1 − a 1 − p . {\displaystyle D(a\parallel p)=(a)\log {\frac {a}{p}}+(1-a)\log {\frac...

the same convention as for the log-normal distribution, type IV may be referred to as the logistic-beta distribution, with reference to the standard...

log-normal distribution and it is generally most accurate for narrow particle size distributions. The interpretation of the cumulative distribution function...