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

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

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

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

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...

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...

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...

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

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...

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

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

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

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

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

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...

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

split normal distribution also known as the two-piece normal distribution results from joining at the mode the corresponding halves of two normal distributions...

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...

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

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

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

of regression models is to replace the normal distribution with a heavy-tailed distribution. A t-distribution with 4–6 degrees of freedom has been reported...

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

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...

discussing general distributions: some specific distributions have their own conventional notation, for example the normal distribution uses Φ {\displaystyle...

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

standard normal distribution N ( 0 , 1 ) {\displaystyle {\mathcal {N}}(0,1)} , then Y = 1/X follows a reciprocal standard normal distribution, heavy-tailed...

the normal-exponential-gamma distribution (sometimes called the NEG distribution) is a three-parameter family of continuous probability distributions. It...