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Consistency Issues in Skew Random Fields: Investigating Proposed Alternatives and Identifying Persisting Problems


Article Information

Title: Consistency Issues in Skew Random Fields: Investigating Proposed Alternatives and Identifying Persisting Problems

Authors: Mehrdad Taghipour, Mohammad Mehdi Saber, M. I. Khan, Mohamed S. Hamed, Haitham M. Yousof

Journal: Pakistan Journal of Statistics and Operation Research

HEC Recognition History
Category From To
Y 2020-07-01 2021-06-30

Publisher: Asiatic Region

Country: Pakistan

Year: 2025

Volume: 21

Issue: 1

Language: en

DOI: 10.18187/pjsor.v21i1.4577

Keywords: Random fieldspatial predictionMultivariate closed skew-normal distributionMultivariate unified skew-normal distribution

Categories

Abstract

Multiple researchers have proposed skew random fields derived from multivariate skew distributions, yet the consistency of these fields has been questioned. Mahmoudian (2018) and Saber et al. (2018) have put forth alternative suggestions to address these concerns. In our study, we identify that the random fields outlined by Mahmoudian (2018) continue to demonstrate consistency issues, suggesting a flaw in their definition. Finally we propose a skew random field and apply it to spatial prediction.


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