MLE for the parameters of bivariate interval-valued model

Samadi, S. Yaser; Billard, L.; Guo, Jiin Huarng; Xu, Wei

doi:10.1007/s11634-023-00546-6

Adv Data Anal Classif

2023

DOI: 10.1007/s11634-023-00546-6

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MLE for the parameters of bivariate interval-valued model

S. Yaser Samadi

L. Billard

Jiin Huarng Guo

et al.

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2024

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Interval-Valued Random Matrices

Sadeghkhani,

Sadeghkhani

2024

Entropy

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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.

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Interval-Valued Random Matrices

Sadeghkhani,

Sadeghkhani

2024

Entropy

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MLE for the parameters of bivariate interval-valued model

Cited by 1 publication

References 23 publications

Interval-Valued Random Matrices

Interval-Valued Random Matrices

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