moment2st {param2moment}R Documentation

Solve Skew-tt Parameters from Moments

Description

Solve skew-tt parameters from mean, standard deviation, skewness and kurtosis.

Usage

moment2st(mean = 0, sd = 1, skewness, kurtosis)

moment2t_demo(sd = 1, kurtosis)

Arguments

mean

numeric scalar, mean μ\mu, default value 0

sd

numeric scalar, standard deviation σ\sigma, default value 1

skewness

numeric scalar

kurtosis

numeric scalar

Details

Function moment2st solves the location ξ\xi, scale ω\omega, slant α\alpha and degree of freedom ν\nu parameters of skew-tt distribution, from user-specified mean μ\mu (default 0), standard deviation σ\sigma (default 1), skewness and kurtosis.

An educational and demonstration function moment2t_demo solves (ω,ν)(\omega, \nu) parameters of tt-distribution, from user-specified σ\sigma and kurtosis. This is a non-skewed distribution, thus the location parameter ξ=μ=0\xi=\mu=0, and the slant parameter α=0\alpha=0.

Value

Function moment2st returns a length-4 numeric vector (ξ,ω,α,ν)(\xi, \omega, \alpha, \nu).

Function moment2t_demo returns a length-2 numeric vector (ω,ν)(\omega, \nu).

Examples

moment2st(skewness = .2, kurtosis = .3)

moment2t_demo(kurtosis = .3)


[Package param2moment version 0.1.2 Index]