theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the distance between events...

Gaussian distribution, a convolution of a normal distribution with an exponential distribution, and the Gaussian minus exponential distribution, a convolution...

double exponential distribution may refer to Laplace distribution, or bilateral exponential distribution, consisting of two exponential distributions glued...

an exponentially modified Gaussian distribution (EMG, also known as exGaussian distribution) describes the sum of independent normal and exponential random...

In probability and statistics, an exponential family is a parametric set of probability distributions of a certain form, specified below. This special...

{\displaystyle k=1} , the distribution simplifies to the exponential distribution. The Erlang distribution is a special case of the gamma distribution in which the...

Laplace distribution is a continuous probability distribution named after Pierre-Simon Laplace. It is also sometimes called the double exponential distribution...

with exponential distributions. The Lomax distribution is a special case of the q-exponential distribution. The q-exponential extends this distribution to...

It is the discrete version of the same property found in the exponential distribution.: 228  The property asserts that the number of previously failed...

probability distributions Exponentially modified Gaussian distribution, describes the sum of independent normal and exponential random variables Exponential family...

denotes the gamma function. Unlike the gamma distribution, which contains a somewhat similar exponential term, β {\displaystyle \beta } is a scale parameter...

gamma distribution is a versatile two-parameter family of continuous probability distributions. The exponential distribution, Erlang distribution, and...

equation Exponential dispersion model Exponential distribution Exponential error Exponential factorial Exponential family Exponential field Exponential formula...

cumulative distribution function of an exponential distribution with rate α. Pareto distribution can be constructed by hierarchical exponential distributions. Let...

a wrapped exponential distribution is a wrapped probability distribution that results from the "wrapping" of the exponential distribution around the...

compressed exponential function (with β > 1) has less practical importance, with the notable exceptions of β = 2, which gives the normal distribution, and of...

is an improper Riemann integral. The exponential distribution with parameter λ > 0 is a continuous distribution whose probability density function is...

heavy-tailed distributions are probability distributions whose tails are not exponentially bounded: that is, they have heavier tails than the exponential distribution...

value distribution (also known as the Fisher–Tippett distribution). It is also known as the log-Weibull distribution and the double exponential distribution...

and the exponential distribution which has coefficient of variation of one. The Erlang distribution is a series of k exponential distributions all with...

affect future trials or further wait time. Only the geometric and exponential distributions are memoryless. A random variable X {\displaystyle X} is memoryless...

probability theory and statistics, the Exponential-Logarithmic (EL) distribution is a family of lifetime distributions with decreasing failure rate, defined...

over the mean, and a vague prior probability (such as an exponential or gamma distribution) over the positive reals for the sample size, if they are...

through exponential growth and exponential diffusion of innovations Population sizes of cities in a region or urban network, Zipf's law. Distribution of artists...

The q-exponential distribution is a probability distribution arising from the maximization of the Tsallis entropy under appropriate constraints, including...

parameter of the distribution. Its complementary cumulative distribution function is a stretched exponential function. The Weibull distribution is related to...

In probability theory, the matrix-exponential distribution is an absolutely continuous distribution with rational Laplace–Stieltjes transform. They were...

values. The generalized normal distribution, also known as the exponential power distribution, allows for distribution tails with thicker or thinner asymptotic...

hypergeometric distribution Poisson distribution, for the number of occurrences of a Poisson-type event in a given period of time Exponential distribution, for...

Gaussian distribution with mean distributed according to a shifted exponential distribution yields an exponentially modified Gaussian distribution. Compounding...