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

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

The term q-exponential occurs in two contexts. The q-exponential distribution, based on the Tsallis q-exponential is discussed in elsewhere. In combinatorial...

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...

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...

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

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

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

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

Tsallis distribution q-Gaussian Picoli, S. Jr.; Mendes, R. S.; Malacarne, L. C. (2003). "q-exponential, Weibull, and q-Weibull distributions: an empirical...

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

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...

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

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...

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...

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...

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...

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...

the exponential family, and also consider the Wishart distribution, conjugate prior of the covariance matrix of a multivariate normal distribution, for...

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...

normal distribution. Equivalently, if Y has a normal distribution, then the exponential function of Y, X = exp(Y), has a log-normal distribution. A random...

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

data". Pareto Q–Q plots compare the quantiles of the log-transformed data to the corresponding quantiles of an exponential distribution with mean 1 (or...

quantile function for Exponential(λ) is derived by finding the value of Q for which 1 − e − λ Q = p {\displaystyle 1-e^{-\lambda Q}=p} : Q ( p ; λ ) = − ln...