The WeightedMovingAverage function computes weighted moving averages for a set of observations. This is a special case of the LinearFilter command.

The first parameter X is a single data sample - given as e.g. a Vector. Each value represents an individual observation.

The second parameter Y is the average - given as e.g. a Vector. Each value represents a average coefficient.

The options argument can contain one or more of the options shown below. These options are described in more detail in the Statistics[Mean] help page.

ignore=truefalse -- This option is used to specify how to handle non-numeric data. If ignore is set to true all non-numeric items in X will be ignored.

$\mathrm{with}\left(\mathrm{Statistics}\right)\:$

$A≔⟨\mathrm{seq}\left(\sin \left(i\right)\,i=1..100\right)⟩\:$

$B≔\mathrm{WeightedMovingAverage}\left(A\,⟨0.3\,0.5\,0.2⟩\right)\:$

$\mathrm{LineChart}\left(\left[A\,B\right]\right)$