Weighted generalised mean — a

Weighted generalised mean of a vector. NA are skipped by default.

Usage

a_genmean(x, w = NULL, p)

x: A numeric vector of positive values.
w: A vector of weights, which should have length equal to length(x). Weights are relative and will be re-scaled to sum to 1. If w is not specified, defaults to equal weights.
p: Coefficient - see details.

Weighted harmonic mean, as a numeric value.

The generalised mean is as follows:

$$ y = \left( \frac{1}{\sum w_i} \sum w_i x_i^p \right)^{1/p} $$

where p is a coefficient specified in the function argument here. Note that:

For negative p, all x values must be positive
Setting p = 0 will result in an error due to the negative exponent. This case is equivalent to the geometric mean in the limit, so use a_gmean() instead.

# a vector of values
x <- 1:10
# a vector of weights
w <- runif(10)
# cubic mean
a_genmean(x,w, p = 2)
#> [1] 5.772109