# Weighted

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## Weighted

Describing an average in which some values count for more than others. For example, if an index consisting of 10 stocks is weighted for price, this means that the average price of the stocks will move more when the stocks with higher price move. Most indices use weighted averages so "smaller" values do not affect the index inordinately. This helps correct for the fact that averages tend to be affected by extreme values. One of the most common ways of weighting an average is to weight for market capitalization.
References in periodicals archive ?
In this paper, we introduce a weight function [w.sub.L](k; x) in (8) whose values cluster to 0 for x < L/2 and to 1 for x > L/2 when k is large enough.
We shall call the generalised halfspace depth with the band weight function the band depth.
Let m* be any weight function satisfying m*(N, M) [less than or equal to] [C.sub.N] re(M) for all M, N [member of] [Z.sup.2d].
Here the two step iterative method (7) is considered with new weight function given by (6).The order of convergence is analyzed in the following Theorem.
Proposition 3 If for a given graph G and a weight function w there exists a compact circular r-coloring, where [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], then there exists a compact r-coloring of (G, w).
The weight functions vary with one or more factors and may be more robust than the drilling factors employed in the MRI, but the weights are not calibrated with drilling data.
The above described weight function method has been adopted for a total 13 number of large scale landslides (volume more than 10million cubic meters).
[f.sub.is]--spatial irregularity weight function of ith form.
In particular, the differentiation matrices should at least differentiate the weight function [Alpha](x) perfectly (in exact arithmetic, that is).
When it used to deal with discontinuous interface problems such as crack, its base function, weight function argument and approximate function etc.
(1.2) [w.sub.1](x; [alpha]) = - log(1 - [alpha][e.sup.|x|]) on [-[infinity],[infinity]], 0 < [alpha] < 1, is what may be called the generalized Binet weight function. We are interested in the poly-nomials orthogonal with respect to the weight functions (1.1) and (1.2), in particular, in the recurrence formulas

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