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...

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...

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...

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,}...

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...

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

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

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

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

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...

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

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...

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

may have Gaussian distribution with σ {\displaystyle \sigma } standard deviation in decibels, resulting in a log-normal distribution of the received power...

log-concave distributions is also log-concave. However, some non-log-concave distributions also have log-concave CDF's: the log-normal distribution, the Pareto...

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

Pareto distributions with shape value (α) of   log 4 5 ≈ 1.16 precisely reflect it. Empirical observation has shown that this 80:20 distribution fits a...

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

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...

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

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

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

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...

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

calculated explicitly. For example, if y follows a log-normal distribution with the standard deviation of logs equal to σ {\displaystyle \sigma } , then G =...

significantly more data. Therefore, a log–log plot that is slightly "bowed" downwards can reflect a log-normal distribution – not a power law. In general, many...

following a log-normal distribution which does not allow negative values. This in turn, implies that returns follow a normal distribution. On April 8...