Abstract
In [H.W. Gómez, H.S. Salinas and H. Bolfarine, Generalized skew-normal models: Properties and inference, Statistics 40(6) (2006), pp. 495–505] introduces a new family of asymmetric distributions that depends on two parameters called, α and β, such as for the particular case β = 0 obtained skew-normal distribution. In this note we give a corrected version for the expression that is used in calculating the moments of such distribution.
1. Introduction
The expression Equation(7) given by Gómez et al. Citation1, known as d
r
, used to calculate the moments of incomplete skew-normal distribution is not valid for r = 1. Then not met for r > 1 because this expression is recursive.
The following is a corrected formula for calculating d r (α). A recursive formulation for computing the incomplete moments of the skew-normal distribution, namely,
Acknowledgements
H.W. Gómez is partially supported by Grant FONDECYT 1060727|7070074. Hugo S. Salinas is partially supported by Grant DIUDA 221180.
Reference
- Gómez , H. W. , Salinas , H. S. and Bolfarine , H. 2006 . Generalized skew-normal models: Properties and inference . Statistics , 40 ( 6 ) : 495 – 505 .