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

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 ( 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...

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...

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

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

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...

probability distribution. The Bernoulli distributions for 0 ≤ p ≤ 1 {\displaystyle 0\leq p\leq 1} form an exponential family. The maximum likelihood estimator...

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

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

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...

statistics, the Q-function is the tail distribution function of the standard normal distribution. In other words, Q ( x ) {\displaystyle Q(x)} is the probability...

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

velocity changes have independent exponential distributions with linearly increasing parameters. In hydrology the distribution of long duration river discharge...

[ 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...

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

KL ( P ∥ Q ) {\displaystyle D_{\text{KL}}(P\parallel Q)} , is a type of statistical distance: a measure of how one probability distribution P is different...

underlying distribution is normal. Unlike more widely known distributions such as the normal distribution and the exponential distribution, the chi-squared...

Binomial distribution Compound Poisson distribution Conway–Maxwell–Poisson distribution Erlang distribution Exponential distribution Gamma distribution Hermite...

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

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

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