theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the distance between events...
42 KB (6,567 words) - 10:39, 19 June 2024
The q-exponential distribution is a probability distribution arising from the maximization of the Tsallis entropy under appropriate constraints, including...
7 KB (747 words) - 13:20, 5 April 2022
with exponential distributions. The Lomax distribution is a special case of the q-exponential distribution. The q-exponential extends this distribution to...
7 KB (790 words) - 17:15, 13 March 2024
gamma distribution is a versatile two-parameter family of continuous probability distributions. The exponential distribution, Erlang distribution, and...
59 KB (8,701 words) - 05:20, 9 August 2024
It is the discrete version of the same property found in the exponential distribution.: 228 The property asserts that the number of previously failed...
31 KB (4,174 words) - 02:46, 7 August 2024
q {\displaystyle \lambda =1-q} . This deformation transforms exponentials into q-exponentials. In a similar procedure to how the normal distribution can...
4 KB (449 words) - 16:25, 6 February 2023
Gaussian q-distribution), a type of Tsallis distribution q-exponential distribution, a type of Tsallis distribution q-Weibull distribution, a type of...
1 KB (151 words) - 06:44, 25 January 2024
In probability and statistics, an exponential family is a parametric set of probability distributions of a certain form, specified below. This special...
83 KB (11,136 words) - 13:40, 21 June 2024
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...
13 KB (1,845 words) - 13:51, 15 May 2024
Tsallis statistics (redirect from Q-Logarithm)
the logarithm. Tsallis entropy Tsallis distribution q-Gaussian q-exponential distribution q-Weibull distribution Tsallis, Constantino (1994). "What are...
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parameter of the distribution. Its complementary cumulative distribution function is a stretched exponential function. The Weibull distribution is related to...
37 KB (5,702 words) - 20:21, 4 July 2024
Tsallis distribution q-Gaussian Picoli, S. Jr.; Mendes, R. S.; Malacarne, L. C. (2003). "q-exponential, Weibull, and q-Weibull distributions: an empirical...
6 KB (859 words) - 15:44, 21 October 2021
q-Laguerre polynomials q-Meixner polynomials q-Meixner–Pollaczek polynomials q-Racah polynomials Gaussian q-distribution q-exponential distribution q-Weibull...
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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...
22 KB (2,609 words) - 12:49, 10 February 2024
probability distribution. The Bernoulli distributions for 0 ≤ p ≤ 1 {\displaystyle 0\leq p\leq 1} form an exponential family. The maximum likelihood estimator...
11 KB (1,644 words) - 13:35, 27 June 2024
denotes the gamma function. Unlike the Gamma distribution, which contains a somewhat similar exponential term, β {\displaystyle \beta } is a scale parameter...
11 KB (1,597 words) - 02:33, 13 August 2024
probability theory and statistics, the Exponential-Logarithmic (EL) distribution is a family of lifetime distributions with decreasing failure rate, defined...
7 KB (1,268 words) - 01:36, 6 April 2024
values. The generalized normal distribution, also known as the exponential power distribution, allows for distribution tails with thicker or thinner asymptotic...
149 KB (22,393 words) - 03:35, 14 August 2024
statistics, a Q–Q plot (quantile–quantile plot) is a probability plot, a graphical method for comparing two probability distributions by plotting their...
21 KB (2,478 words) - 00:12, 3 August 2024
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...
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value distribution (also known as the Fisher–Tippett distribution). It is also known as the log-Weibull distribution and the double exponential distribution...
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velocity changes have independent exponential distributions with linearly increasing parameters. In hydrology the distribution of long duration river discharge...
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[ 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...
5 KB (873 words) - 06:47, 9 April 2023
In probability theory, the matrix-exponential distribution is an absolutely continuous distribution with rational Laplace–Stieltjes transform. They were...
4 KB (379 words) - 03:37, 13 March 2024
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...
72 KB (12,414 words) - 21:33, 10 July 2024
underlying distribution is normal. Unlike more widely known distributions such as the normal distribution and the exponential distribution, the chi-squared...
44 KB (6,540 words) - 09:53, 11 August 2024
Binomial distribution Compound Poisson distribution Conway–Maxwell–Poisson distribution Erlang distribution Exponential distribution Gamma distribution Hermite...
81 KB (11,248 words) - 16:57, 13 August 2024
In mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function. It is used to solve systems...
55 KB (10,413 words) - 20:04, 7 June 2024
theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence...
51 KB (7,517 words) - 21:15, 2 August 2024
distribution Binomial distribution Poisson distribution Compound Poisson distribution Exponential family Negative binomial regression Vector generalized linear model...
57 KB (8,530 words) - 13:34, 18 July 2024