RecordNumber
3936
Author
Darijani Saeed
Crop_Body
Saeed Darijani, Hojatollah Zakerzadeh, Hamzeh Torabi
Title of Article
On the Canonical-Based Goodness-of-fit Tests for Multivariate Skew-Normality
Title Of Journal
خبرنامه انجمن آمار ايران
PublishInfo
تهران :انجمن آمار ايران
Publication Year
2020
Volum
19
Issue Number
2
Page
119-131
Keywords
Multivariate Skew-Normal Distribution , Canonical Form , Laplace Transform , Characteristic Function
Abstract
It is well-known that the skew-normal distribution can provide an alternative
model to the normal distribution for analyzing asymmetric data. The aim of this
paper is to propose two goodness-of-fit tests for assessing whether a sample comes
from a multivariate skew-normal (MSN) distribution. We address the problem of
multivariate skew-normality goodness-of-fit based on the empirical Laplace transform
and empirical characteristic function, respectively, using the canonical form of theMSN
distribution. Applications with Monte Carlo simulations and real-life data examples
are reported to illustrate the usefulness of the new tests.