Bayesian analysis of random effects panel interval-valued data models

Dengke Xu , Linlin Shen , Yuanyang Tangzhu , Shiqi Ke

Electronic Research Archive ›› 2025, Vol. 33 ›› Issue (5) : 3210 -3224.

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Electronic Research Archive ›› 2025, Vol. 33 ›› Issue (5) :3210 -3224. DOI: 10.3934/era.2025141
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Bayesian analysis of random effects panel interval-valued data models
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Abstract

In the era of big data, interval-valued data is quite common in real life and can be used to describe the uncertainty of variables. In this paper, we introduced random effects panel interval-valued data models based on the center and range method and constructed a Bayesian method for the models, including estimation and prediction. Some simulation studies indicate that the proposed Bayesian method performs well. Finally, our proposed panel interval-valued data Bayesian models were applied in forecasting of the Air Quality Index, and the experimental evaluation of actual data sets shows the advantages and the performance of our proposed models.

Keywords

panel data / interval-valued data / Bayesian estimation / center and range method

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Dengke Xu, Linlin Shen, Yuanyang Tangzhu, Shiqi Ke. Bayesian analysis of random effects panel interval-valued data models. Electronic Research Archive, 2025, 33 (5) : 3210-3224 DOI:10.3934/era.2025141

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