In mathematics and statistics, the quasi-arithmetic mean or generalised f-mean or Kolmogorov-Nagumo-de Finetti mean is one generalisation of the more familiar...

the product of their values (as opposed to the arithmetic mean which uses their sum). The geometric mean of ⁠ n {\displaystyle n} ⁠ numbers is the nth...

to powers Minkowski distance Quasi-arithmetic mean – another name for the generalized f-mean mentioned above Root mean square If NM = a and PM = b. AM...

Grand mean Heinz mean Heronian mean Identric mean Lehmer mean Logarithmic mean Moving average Neuman–Sándor mean Quasi-arithmetic mean Root mean square...

mathematics and statistics, the arithmetic mean ( /ˌærɪθˈmɛtɪk/ arr-ith-MET-ik), arithmetic average, or just the mean or average is the sum of a collection...

is sometimes called the generalised f-mean or quasi-arithmetic mean. The general definition of the Fréchet mean (which includes the possibility of weighting...

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

mathematics, the arithmetic–geometric mean (AGM or agM) of two positive real numbers x and y is the mutual limit of a sequence of arithmetic means and a sequence...

mean Jensen's inequality Quasi-arithmetic mean Stolarsky mean Graziani, Rebecca; Veronese, Piero (2009). "How to Compute a Mean? The Chisini Approach and...

arguments. The harmonic mean is the reciprocal of the arithmetic mean of the reciprocals of the numbers, that is, the generalized f-mean with f ( x ) = 1 x...

contraharmonic mean of a set of positive real numbers is defined as the arithmetic mean of the squares of the numbers divided by the arithmetic mean of the numbers:...

list of numbers is the arithmetic mean – the sum of the numbers divided by how many numbers are in the list. For example, the mean or average of the numbers...

series Gnedenko-Kolmogorov central limit theorem Quasi-arithmetic mean (it is also called Kolmogorov mean) Kolmogorov homology Kolmogorov's inequality Landau–Kolmogorov...

This operator can be viewed as a particular instantiation of the quasi-arithmetic mean. It can also be derived from information theoretical principles...

Harmonic mean Geometric–harmonic mean Arithmetic–geometric mean Weighted mean Quasi-arithmetic mean Classical orthogonal polynomials Hermite polynomials Laguerre...

subtraction ⊖ is not always defined. A mean can be defined by log addition and log division (as the quasi-arithmetic mean corresponding to the exponent), as...

distributions. For a finite population, the population mean of a property is equal to the arithmetic mean of the given property, while considering every member...

Arithmetic coding (AC) is a form of entropy encoding used in lossless data compression. Normally, a string of characters is represented using a fixed number...

In statistics, regression toward the mean (also called regression to the mean, reversion to the mean, and reversion to mediocrity) is the phenomenon where...

equals the arithmetic mean of the left and right derivatives at that point, if the latter two both exist.: 6  Neither Rolle's theorem nor the mean-value theorem...

their respective means. The above equations are efficient to use if the mean of the x and y variables ( x ¯  and  y ¯ {\displaystyle {\bar {x}}{\text{...

A quasi-experiment is a research design used to estimate the causal impact of an intervention. Quasi-experiments share similarities with experiments and...

with 0 ≤ x ≤ ⁠1/2⁠. For different values of x, this Heinz mean interpolates between the arithmetic (x = 0) and geometric (x = 1/2) means such that for 0 < x < ⁠1/2⁠:...

values are within one standard deviation of the mean (mathematically, μ ± σ, where μ is the arithmetic mean), about 95 percent are within two standard deviations...

dispersion or variability. In the general form, the central point can be a mean, median, mode, or the result of any other measure of central tendency or...

reducing sampling error. It can produce a weighted mean that has less variability than the arithmetic mean of a simple random sample of the population. In...

problems require superpolynomial time. Quasi-polynomial time algorithms are algorithms whose running time exhibits quasi-polynomial growth, a type of behavior...

itself is the same number). The Heronian mean of the numbers A and B is a weighted mean of their arithmetic and geometric means: H = 2 3 ⋅ A + B 2 + 1...

than the arithmetic mean of 4, which is larger than all but one of the values. However, the widely cited empirical relationship that the mean is shifted...

location, or central tendency, such as the arithmetic mean a measure of statistical dispersion like the standard mean absolute deviation a measure of the shape...