skewness.GB2: Skewness of the Generalised Beta Distribution of Second Kind

In acid: Analysing Conditional Income Distributions

Description

This function calculates the skewness of the Generalised Beta Distribution of Second Kind.

Usage

skewness.GB2(b, a, p, q)

Arguments

b	the parameter b of the Dagum distribution as defined by Kleiber and Kotz (2003).
a	the parameter a of the Dagum distribution as defined by Kleiber and Kotz (2003).
p	the parameter p of the Dagum distribution as defined by Kleiber and Kotz (2003).
q	the parameter q of the Dagum distribution as defined by Kleiber and Kotz (2003).

Value

returns the skewness.

Author(s)

Alexander Sohn

References

Kleiber, C. and Kotz, S. (2003): Statistical Size Distributions in Economics and Actuarial Sciences, Wiley, Hoboken.

Examples

a.test<- 4
b.test<- 20000
p.test<- 0.7
q.test<- 1
alpha.test<-1
GB2sample<-rGB2(10000,b.test,a.test,p.test,q.test)
skewness.GB2(b.test,a.test,p.test,q.test)
#require(e1071)
#skewness(GB2sample)#note that this estimation is highly unstable even for larger sample sizes.

Example output

Loading required package: gamlss
Loading required package: splines
Loading required package: gamlss.data
Loading required package: gamlss.dist
Loading required package: MASS
Loading required package: nlme
Loading required package: parallel
 **********   GAMLSS Version 5.0-2  ********** 
For more on GAMLSS look at http://www.gamlss.org/
Type gamlssNews() to see new features/changes/bug fixes.

Loading required package: Hmisc
Loading required package: lattice
Loading required package: survival
Loading required package: Formula
Loading required package: ggplot2

Attaching package: 'Hmisc'

The following objects are masked from 'package:base':

    format.pval, round.POSIXt, trunc.POSIXt, units

[1] 3.894544

acid documentation built on May 1, 2019, 10:14 p.m.