Interval-Valued Random Matrices

Autor: Abdolnasser Sadeghkhani, Ali Sadeghkhani
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Entropy, Vol 26, Iss 11, p 899 (2024)
Druh dokumentu: article
ISSN: 1099-4300
DOI: 10.3390/e26110899
Popis: This paper introduces a novel approach that combines symbolic data analysis with matrix theory through the concept of interval-valued random matrices. This framework is designed to address the complexities of real-world data, offering enhanced statistical modeling techniques particularly suited for large and complex datasets where traditional methods may be inadequate. We develop both frequentist and Bayesian methods for the statistical inference of interval-valued random matrices, providing a comprehensive analytical framework. We conduct extensive simulations to compare the performance of these methods, demonstrating that Bayesian estimators outperform maximum likelihood estimators under the Frobenius norm loss function. The practical utility of our approach is further illustrated through an application to climatology and temperature data, highlighting the advantages of interval-valued random matrices in real-world scenarios.
Databáze: Directory of Open Access Journals
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