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Although the density above is most commonly known as the standard normal, a few authors have used that term to describe other versions of the normal distribution. Carl Friedrich Gauss, for example, once defined the standard normal as =, which has a variance of , and Stephen Stigler [7] once defined the standard normal as =, which has a ...
This is an accepted version of this page This is the latest accepted revision, reviewed on 27 November 2024. German mathematician, astronomer, geodesist, and physicist (1777–1855) "Gauss" redirects here. For other uses, see Gauss (disambiguation). Carl Friedrich Gauss Portrait by Christian Albrecht Jensen, 1840 (copy from Gottlieb Biermann, 1887) Born Johann Carl Friedrich Gauss (1777-04-30 ...
The concept of Gaussian processes is named after Carl Friedrich Gauss because it is based on the notion of the Gaussian distribution (normal distribution). Gaussian processes can be seen as an infinite-dimensional generalization of multivariate normal distributions.
The method of least squares, which was used to minimize errors in data measurement, was published independently by Adrien-Marie Legendre (1805), Robert Adrain (1808), and Carl Friedrich Gauss (1809). Gauss had used the method in his famous 1801 prediction of the location of the dwarf planet Ceres. The observations that Gauss based his ...
Gauss's law: first described by Joseph Louis Lagrange in 1773, over half a century before Gauss. [22] [23] Gauss's theorem: first proved by Ostrogradsky in 1831. Gaussian distribution: the normal distribution was introduced by Abraham de Moivre in 1733, but named after Carl Friedrich Gauss who began using it in 1794.
In mathematics, Gaussian measure is a Borel measure on finite-dimensional Euclidean space, closely related to the normal distribution in statistics. There is also a generalization to infinite-dimensional spaces. Gaussian measures are named after the German mathematician Carl Friedrich Gauss.
English: A selection of Normal Distribution Probability Density Functions (PDFs). Both the mean, ... Carl Friedrich Gauss; Usage on es.wikipedia.org
Abraham de Moivre originally discovered this type of integral in 1733, while Gauss published the precise integral in 1809, [1] attributing its discovery to Laplace. The integral has a wide range of applications. For example, with a slight change of variables it is used to compute the normalizing constant of the normal distribution.