Moment Conversion

This function converts moments of a distribution to and from central and raw ones. Raw moments about a origin can be converted to raw moments with another origin.

Usage

conv_moment_all(x, a, k)

Arguments

x

A numeric vector with moments about a, the existing origin.

a

The old origin

k

The new origin. To convert to central moments, use \(\mu_1'+a\)

Value

A vector of converted moments

Details

If you want to convert to central moment, use the same function. Just remember to use the arithmetic mean as the new origin.

Mean = First raw moment about a + a; where a is the old origin.

Examples

x <- c(1, 16, -40)
conv_moment_all(x, 2, 0)
#> [1]  3 24 76