convex mean
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Convex function — on an interval. A function (in black) is convex if and only i … Wikipedia
Mean width — In geometry, the mean width is a measure of dimension length of the size a body; see Hadwiger s theorem for more about the available measures of bodies. In n dimensions, one has to consider (n − 1) dimensional hyperplanes perpendicular to a given … Wikipedia
Convex combination — Given three points x1,x2,x3 in a plane as shown in the figure, the point P is a convex combination of the three points, while Q is not. (Q is however an affine combination of the three poin … Wikipedia
Mean — This article is about the statistical concept. For other uses, see Mean (disambiguation). In statistics, mean has two related meanings: the arithmetic mean (and is distinguished from the geometric mean or harmonic mean). the expected value of a… … Wikipedia
Weighted mean — The weighted mean is similar to an arithmetic mean (the most common type of average), where instead of each of the data points contributing equally to the final average, some data points contribute more than others. The notion of weighted mean… … Wikipedia
Generalized mean — In mathematics, a generalized mean, also known as power mean or Hölder mean (named after Otto Hölder), is an abstraction of the Pythagorean means including arithmetic, geometric, and harmonic means. Contents 1 Definition 2 Properties 2.1 … Wikipedia
Two-moment decision models — Mean variance analysis redirects here. For mean variance portfolio theory, see Modern portfolio theory or Mutual fund separation theorem. In decision theory, economics, and finance, a two moment decision model is a model that describes or… … Wikipedia
Central limit theorem — This figure demonstrates the central limit theorem. The sample means are generated using a random number generator, which draws numbers between 1 and 100 from a uniform probability distribution. It illustrates that increasing sample sizes result… … Wikipedia
Optimal design — This article is about the topic in the design of experiments. For the topic in optimal control theory, see shape optimization. Gustav Elfving developed the optimal design of experiments, and so minimized surveyors need for theodolite measurements … Wikipedia
CMA-ES — stands for Covariance Matrix Adaptation Evolution Strategy. Evolution strategies (ES) are stochastic, derivative free methods for numerical optimization of non linear or non convex continuous optimization problems. They belong to the class of… … Wikipedia
Jensen's inequality — In mathematics, Jensen s inequality, named after the Danish mathematician Johan Jensen, relates the value of a convex function of an integral to the integral of the convex function. It was proved by Jensen in 1906 [Jensen, J. Sur les fonctions… … Wikipedia