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

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

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

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...

In probability and statistics, the truncated normal distribution is the probability distribution derived from that of a normally distributed random variable...

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

matrix normal distribution or matrix Gaussian distribution is a probability distribution that is a generalization of the multivariate normal distribution to...

logit-normal distribution is a probability distribution of a random variable whose logit has a normal distribution. If Y is a random variable with a normal...

the ratio Z = X/Y is a ratio distribution. An example is the Cauchy distribution (also called the normal ratio distribution), which comes about as the ratio...

exponential distribution. Alpha-skew-normal distribution. Bimodal skew-symmetric normal distribution. A mixture of Conway-Maxwell-Poisson distributions has been...

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

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...

of a distribution. A univariate normal distribution has an excess kurtosis of 0. Negative excess kurtosis indicates a platykurtic distribution, which...

von Mises distribution (also known as the circular normal distribution or the Tikhonov distribution) is a continuous probability distribution on the circle...

In probability theory, the family of complex normal distributions, denoted C N {\displaystyle {\mathcal {CN}}} or N C {\displaystyle {\mathcal {N}}_{\mathcal...

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...

continuous probability distribution that generalizes the standard normal distribution. Like the latter, it is symmetric around zero and bell-shaped. However...

The normal-inverse Gaussian distribution (NIG, also known as the normal-Wald distribution) is a continuous probability distribution that is defined as...

standard normal table, also called the unit normal table or Z table, is a mathematical table for the values of Φ, the cumulative distribution function...

uniform distribution on [0,1]. The logit-normal distribution on (0,1). The Dirac delta function, although not strictly a probability distribution, is a...

mixture distribution. Normal distribution (Gaussian distribution), for a single such quantity; the most commonly used absolutely continuous distribution Log-normal...

theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence...

enough apart, showing that this distribution is radically different from a normal distribution. Mixture distributions arise in many contexts in the literature...

skewness of 0 A half-normal distribution has a skewness just below 1 An exponential distribution has a skewness of 2 A lognormal distribution can have a skewness...

cumulative normal distribution function. The points plotted in a Q–Q plot are always non-decreasing when viewed from left to right. If the two distributions being...

cumulative probability is contained. For example, if the distribution is a standard normal distribution then Q ( 0.5 ) {\displaystyle Q(0.5)} will return 0...

mean}}}{\text{standard deviation}}}} . By plugging this into the normal distribution, we can derive the probability of the test point belonging to the...

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

fat-tailed distribution is a probability distribution that exhibits a large skewness or kurtosis, relative to that of either a normal distribution or an exponential...