Definition:Weighted Sum

Definition

Let $S = \sequence {x_1, x_2, \ldots, x_n}$ be a sequence of real numbers.

Let $\map W x$ be a weight function to be applied to the terms of $S$.

The weighted sum of $S$ is defined as:

$\bar x := \ds \sum_{i \mathop = 1}^n \map W {x_i} x_i$

This means that elements of $S$ with a larger weight contribute more to the weighted sum than those with a smaller weight.

Also see

• Definition:Weighted Mean

Sources

• 1994: George E.P. Box, Gwilym M. Jenkins and Gregory C. Reinsel: Time Series Analysis: Forecasting and Control (3rd ed.) ... (previous) ... (next):

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