a_genmean: Weighted generalised mean

In COINr: Composite Indicator Construction and Analysis

Weighted generalised mean

Description

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

Usage

a_genmean(x, w = NULL, p)

Arguments

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.

Details

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.

Value

Weighted harmonic mean, as a numeric value.

Examples

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

COINr documentation built on May 29, 2024, 1:18 a.m.