In mathematics, generalized means (or power mean or Hölder mean from Otto Hölder) are a family of functions for aggregating sets of numbers. These include...

mean lim m → − ∞ {\displaystyle \lim _{m\to -\infty }} minimum of x i {\displaystyle x_{i}} This can be generalized further as the generalized f-mean...

Andrey Kolmogorov. It is a broader generalization than the regular generalized mean. If f is a function which maps an interval I {\displaystyle I} of the...

RMS is also known as the quadratic mean (denoted M 2 {\displaystyle M_{2}} ), a special case of the generalized mean. The RMS of a continuous function...

Midhinge the arithmetic mean of the first and third quartiles. Quasi-arithmetic mean A generalization of the generalized mean, specified by a continuous...

portal Arithmetic-geometric mean Generalized mean Geometric mean theorem Geometric standard deviation Harmonic mean Heronian mean Heteroscedasticity Log-normal...

defining a mean as above is quite old, appearing (for example) in early works of Augustus De Morgan.[original research?] Fréchet mean Generalized mean Jensen's...

Fréchet mean Generalized mean Inequality of arithmetic and geometric means Sample mean and covariance Standard deviation Standard error of the mean Summary...

the harmonic mean is widely used. Mathematics portal Contraharmonic mean Generalized mean Harmonic number Rate (mathematics) Weighted mean Parallel summation...

In statistics, a generalized linear model (GLM) is a flexible generalization of ordinary linear regression. The GLM generalizes linear regression by allowing...

harmonic mean, q = 1 to the weighted geometric mean, and q = 2 to the weighted arithmetic mean. As q approaches infinity, the weighted generalized mean with...

The cubic mean (written as x ¯ c u b i c {\displaystyle {\bar {x}}_{\mathrm {cubic} }} ) is a specific instance of the generalized mean with p = 3 {\displaystyle...

Log-normal Populations: The Generalized Variable Approach”, Biometrical Journal. Tsui, K. and Weerahandi, S. (1989): "Generalized p-values in significance...

{\displaystyle \gamma } (which represents the mean recovery/death rate, or 1 / γ {\displaystyle 1/\gamma } the mean infective period) of infectives are leaving...

The denominator equals mean proportional species abundance in the dataset as calculated with the weighted generalized mean with exponent q - 1. In the...

In continuum mechanics, the generalized Lagrangian mean (GLM) is a formalism – developed by D.G. Andrews and M.E. McIntyre (1978a, 1978b) – to unambiguously...

positive numbers x, y. The logarithmic mean of two numbers is smaller than the arithmetic mean and the generalized mean with exponent greater than 1. However...

equals mean proportional species abundance within the subunits (mean p i | j {\displaystyle p_{i|j}} ) as calculated with the weighted generalized mean with...

mean inequality chain, state the relationship between the harmonic mean, geometric mean, arithmetic mean, and quadratic mean (also known as root mean...

the AM–GM inequality are available to include weights or generalized means. The arithmetic mean, or less precisely the average, of a list of n numbers x1...

similarity of size between multiple datapoint vectors. Generalized mean – N-th root of the arithmetic mean of the given numbers raised to the power n L p {\displaystyle...

1−ε to the arithmetic mean of the incomes (where as usual the generalized mean of exponent 0 is interpreted as the geometric mean). Atkinson index satisfies...

The generalized variance is a scalar value which generalizes variance for multivariate random variables. It was introduced by Samuel S. Wilks. The generalized...

the AGM algorithms. Landen's transformation Gauss–Legendre algorithm Generalized mean By 1799, Gauss had two proofs of the theorem, but neither of them was...

trimedian, and normalized mean, with their generalizations. One can create one's own average metric using the generalized f-mean: y = f − 1 ( 1 n [ f ( x...

In statistics, generalized least squares (GLS) is a method used to estimate the unknown parameters in a linear regression model. It is used when there...

In statistics, a generalized additive model (GAM) is a generalized linear model in which the linear response variable depends linearly on unknown smooth...

_{i}\left|x_{i}\right|.} The p {\displaystyle p} -norm is related to the generalized mean or power mean. For p = 2 , {\displaystyle p=2,} the ‖ ⋅ ‖ 2 {\displaystyle...

independently) over time or among frequencies. One form of white noise is the generalized mean-square derivative of the Wiener process or Brownian motion. A generalization...

Generalized anxiety disorder (GAD) is a mental and behavioral disorder, specifically an anxiety disorder characterized by excessive, uncontrollable and...