Convert a Single Moment Across Origins

Computes the r-th moment about target origin k from raw moments about origin a using the generalized binomial transformation.

Usage

conv_moment(x, a, k, r)

Arguments

x

Numeric vector of raw moments about origin a (orders 1..K, K >= r).

a

Initial origin.

k

Target origin.

r

Order of the moment to convert (integer >= 1).

Value

Numeric scalar: the r-th moment about origin k.

Examples

x <- c(-1, 7, 39)
conv_moment(x, a = 2, k = 5, r = 2)  # returns 22
#> [1] 22