arithmetic-geometric mean

См. также в других словарях:

• Arithmetic-geometric mean — In mathematics, the arithmetic geometric mean (AGM) of two positive real numbers x and y is defined as follows:First compute the arithmetic mean of x and y and call it a 1. Next compute the geometric mean of x and y and call it g 1; this is the… …   Wikipedia

• Geometric mean — The geometric mean, in mathematics, is a type of mean or average, which indicates the central tendency or typical value of a set of numbers. It is similar to the arithmetic mean, which is what most people think of with the word average, except… …   Wikipedia

• Geometric Mean — The average of a set of products, the calculation of which is commonly used to determine the performance results of an investment or portfolio. Technically defined as the n th root product of n numbers , the formula for calculating geometric mean …   Investment dictionary

• geometric mean — An average obtained by calculating the nth root of a set of n numbers. For example the geometric mean of 7, 100, and 107 is 3√74 900 = 42.15, which is considerably less than the arithmetic mean of 71.3 …   Accounting dictionary

• geometric mean — An average obtained by calculating the nth root of a set of n numbers. For example the geometric mean of 7, 100, and 107 is %3→74 900 = 42. 15, which is considerably less than the arithmetic mean of 71. 3 …   Big dictionary of business and management

• Weighted geometric mean — In statistics, given a set of data, : X = { x 1, x 2, ..., x n } and corresponding weights, : W = { w 1, w 2, ..., w n } the weighted geometric mean is calculated as: ar{x} = left(prod {i=1}^n x i^{w i} ight)^{1 / sum {i=1}^n w i} = quad exp… …   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

• Geometric-harmonic mean — In mathematics, the geometric harmonic mean M( x , y ) of two positive real numbers x and y is defined as follows: we first form the geometric mean of g 0 = x and h 0 = y and call it g 1, i.e. g 1 is the square root of xy . We then form the… …   Wikipedia

• arithmetic mean — arithmetic average An average obtained by adding together the individual numbers concerned and dividing the total by their number. For example, the arithmetic mean of 7, 20, 107, and 350 is 484 4 = 121. This value, however, gives no idea of the… …   Big dictionary of business and management

• mean — arithmetic mean; n. the average of a group of observations calculated by adding their values and dividing by the number in the group. When one or more observations are substantially different from the rest, which can influence the arithmetic mean …   The new mediacal dictionary

• mean — mean1 [mēn] vt. meant [ment] meaning [ME menen < OE mænan, to mean, tell, complain, akin to Ger meinen, to have in mind, have as opinion < IE base * meino , opinion, intent > OIr mian, wish, desire] 1. to have in mind; intend; purpose… …   English World dictionary