Sampling distributions of skew normal populations associated with closed skew normal distributions
type: Item
instance of: scholarly article
title: Sampling distributions of skew normal populations associated with closed skew normal distributions
zbMATH Open document ID: 1427.62045
author: Xiaonan Zhu
author: Baokun Li
author: Tonghui Wang
author: Arjun K. Gupta
published in: Random Operators and Stochastic Equations
publication date: 2019-07-09T00:00:00Z
review text: The skew normal distribution is the most widely used model for analyzing unimodal data with skewness. The main result of this paper is the generalization of the classic chi-square distribution and the skew chi-square distribution making it possible to cover the random samples from skew normal populations. These theoretical results are applied for the one-way balanced effect model with skew normal random effects and the regression model with skew normal errors.
Mathematics Subject Classification ID: 62H10
Mathematics Subject Classification ID: 62H05
zbMATH DE Number: 7077621
zbMATH Keywords: sampling distribution
zbMATH Keywords: skew normal distribution
zbMATH Keywords: closed skew normal distribution
zbMATH Keywords: noncentral closed skew chi-square distribution
zbMATH Keywords: quadratic form
zbMATH Keywords: regression model
reviewed by: Denis Sidorov
describes a project that uses: sn
MaRDI profile type: Publication
full work available at URL: rose-2018-2007
OpenAlex ID: W2937225622
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Wikidata QID: Q128117523
DOI: 10.1515/ROSE-2018-2007
description: scientific article; zbMATH DE number 7077621