log-Cauchy distribution is a probability distribution of a random variable whose logarithm is distributed in accordance with a Cauchy distribution. If... 12 KB (1,297 words) - 08:30, 26 June 2023 |
Pi (section Cauchy distribution and potential theory) dx=\pi .} The Shannon entropy of the Cauchy distribution is equal to ln(4π), which also involves π. The Cauchy distribution plays an important role in potential... 145 KB (17,361 words) - 13:47, 6 May 2024 |
Mises distribution The wrapped normal distribution The wrapped exponential distribution The wrapped Lévy distribution The wrapped Cauchy distribution The... 22 KB (2,609 words) - 12:49, 10 February 2024 |
Lorentzian may refer to Cauchy distribution, also known as the Lorentz distribution, Lorentzian function, or Cauchy–Lorentz distribution Lorentz transformation... 317 bytes (61 words) - 17:54, 28 March 2022 |
In mathematics, the Cauchy principal value, named after Augustin-Louis Cauchy, is a method for assigning values to certain improper integrals which would... 11 KB (1,962 words) - 05:23, 27 April 2024 |
normal distribution extreme events are less likely than for fat-tailed distributions. Fat-tailed distributions such as the Cauchy distribution (and all... 10 KB (1,130 words) - 09:27, 3 April 2024 |
Breit–Wigner distribution may refer to: Cauchy distribution, also known as the Lorentz distribution or the (non-relativistic) Breit–Wigner distribution Relativistic... 342 bytes (65 words) - 03:55, 8 December 2018 |
A normal distribution is sometimes informally called a bell curve. However, many other distributions are bell-shaped (such as the Cauchy, Student's... 142 KB (22,359 words) - 17:15, 5 May 2024 |
} With k = 1, the distributions of X and 1 / X are identical (X is then Cauchy distributed (0,1)). If k > 1 then the distribution of 1 / X is bimodal... 12 KB (1,710 words) - 19:53, 24 November 2023 |
student t distribution, the skewed Cauchy distribution, the Laplace distribution, the uniform distribution, the normal distribution, and the Cauchy distribution... 18 KB (3,598 words) - 20:38, 4 January 2024 |
Residue theorem (redirect from Cauchy residue theorem) In complex analysis, the residue theorem, sometimes called Cauchy's residue theorem, is a powerful tool to evaluate line integrals of analytic functions... 13 KB (3,251 words) - 13:48, 29 March 2024 |
the ratio Z = X/Y is a ratio distribution. An example is the Cauchy distribution (also called the normal ratio distribution), which comes about as the ratio... 53 KB (10,532 words) - 08:14, 25 April 2024 |
Cauchy–Davenport theorem Cauchy determinant Cauchy distribution Log-Cauchy distribution Wrapped Cauchy distribution Cauchy elastic material Cauchy's equation... 3 KB (198 words) - 04:23, 7 February 2024 |
generalisation of the Laplace distribution to function spaces Cauchy distribution, also called the "Lorentzian distribution", ie the Fourier transform of... 21 KB (3,033 words) - 02:15, 12 May 2024 |
distribution, and α = 1 {\displaystyle \alpha =1} to the Cauchy distribution. The distributions have undefined variance for α < 2 {\displaystyle \alpha... 52 KB (8,439 words) - 19:34, 2 May 2024 |
condition Cauchy's convergence test Cauchy (crater) Cauchy determinant Cauchy distribution Cauchy's equation Cauchy–Euler equation Cauchy's functional... 42 KB (5,414 words) - 07:05, 6 May 2024 |
John Tukey. Consider the mixture distribution defined by F(x) = (1 − 10−10) (standard normal) + 10−10 (standard Cauchy). The mean of i.i.d. observations... 20 KB (3,060 words) - 18:21, 29 December 2023 |
complex-valued function along a curve in the complex plane; application of the Cauchy integral formula; and application of the residue theorem. One method can... 45 KB (9,631 words) - 04:26, 8 May 2024 |
theory, a Cauchy process is a type of stochastic process. There are symmetric and asymmetric forms of the Cauchy process. The unspecified term "Cauchy process"... 6 KB (742 words) - 14:51, 15 September 2023 |
of the distribution of step sizes. He used the term Cauchy flight for the case where the distribution of step sizes is a Cauchy distribution, and Rayleigh... 14 KB (1,484 words) - 02:51, 25 April 2024 |
robustness and higher efficiency for mixed distributions and heavy-tailed distribution (like the Cauchy distribution), at the cost of lower efficiency for... 9 KB (1,192 words) - 19:10, 26 June 2023 |
Dirac delta function (redirect from Dirac delta distribution) function (infinitesimal version of Cauchy distribution) explicitly appears in an 1827 text of Augustin Louis Cauchy. Siméon Denis Poisson considered the... 93 KB (13,792 words) - 11:24, 11 May 2024 |
Median (section Sampling distribution) such as the Cauchy distribution: The median of a symmetric unimodal distribution coincides with the mode. The median of a symmetric distribution which possesses... 59 KB (7,641 words) - 23:12, 9 May 2024 |
In mathematics, Cauchy's integral formula, named after Augustin-Louis Cauchy, is a central statement in complex analysis. It expresses the fact that a... 25 KB (4,354 words) - 19:54, 10 May 2024 |
Characteristic function (probability theory) (category Functions related to probability distributions) X has a standard Cauchy distribution. Then φX(t) = e−|t|. This is not differentiable at t = 0, showing that the Cauchy distribution has no expectation... 39 KB (5,267 words) - 15:00, 29 February 2024 |