Computes weighted variance

weighted_var(x, w)

wvar(x, w)

Arguments

x

A numeric vector of length \(n\).

w

A numeric vector of length \(n\).

Value

Numeric scalar with the weighted variance.

Details

weighted_variance implements weighted variance computation in the following form: $$% \frac{\sum_i w_i'(x_i - \bar x)^2}{(1-n)} $$

where \(w_i'=w_i/\sum_i w_i\), and \(\bar x = \sum_i w_i'x_i\).

See also

This function is used in diffmap.