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

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

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

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

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

q ( x ) = [ 1 + ( 1 − q ) x ] + 1 1 − q {\displaystyle e_{q}(x)=[1+(1-q)x]_{+}^{1 \over 1-q}} is the q-exponential and the normalization factor C q {\displaystyle...

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

the logarithm. Tsallis entropy Tsallis distribution q-Gaussian q-exponential distribution q-Weibull distribution Tsallis, Constantino (1994). "What are...

Gaussian q-distribution), a type of Tsallis distribution q-exponential distribution, a type of Tsallis distribution q-Weibull distribution, a type of...

q {\displaystyle \lambda =1-q} . This deformation transforms exponentials into q-exponentials. In a similar procedure to how the normal distribution can...

q-Laguerre polynomials q-Meixner polynomials q-Meixner–Pollaczek polynomials q-Racah polynomials Gaussian q-distribution q-exponential distribution q-Weibull...

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

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

with sizes }}{\begin{bmatrix}q\times q&q\times (N-q)\\(N-q)\times q&(N-q)\times (N-q)\end{bmatrix}}} then the distribution of x1 conditional on x2 = a...

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

probability q = 1 − p. The Rademacher distribution, which takes value 1 with probability 1/2 and value −1 with probability 1/2. The binomial distribution, which...

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...

[ t ] q = q t − 1 q − 1 . {\displaystyle [t]_{q}={\frac {q^{t}-1}{q-1}}.} The q-analogue of the exponential function is the q-exponential, Ex q, which...

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

In mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function. It is used to solve systems...

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

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

distribution Binomial distribution Poisson distribution Compound Poisson distribution Exponential family Negative binomial regression Vector generalized linear model...

statistics, a Q–Q plot (quantile–quantile plot) is a probability plot, a graphical method for comparing two probability distributions by plotting their...

that empirical distribution p ^ {\displaystyle {\hat {p}}} deviates from the actual distribution p {\displaystyle p} decays exponentially, at a rate n D...

about properties of the Dirichlet distribution. Because the Dirichlet distribution is an exponential family distribution it has a conjugate prior. The conjugate...

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

being in state i, exp is the exponential function, εi is the energy of that state, and a constant kT of the distribution is the product of the Boltzmann...

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

)\ } (Weibull distribution) If   X ∼ Exponential ( 1 )   {\displaystyle \ X\sim {\textrm {Exponential}}(1)\ } (Exponential distribution) then   μ − σ...