Varying coefficient models are useful in applications where the effect of the covariate might depend on some other covariate such as time or location. Various applications of these models often give rise to case-specific prior distributions for the parameter(s) describing how much the coefficients vary. In this work, we introduce a unified view of varying coefficients models, arguing for a way of specifying these prior distributions that are coherent across various applications, avoid overfitting and have a coherent interpretation. We do this by considering varying coefficients models as a flexible extension of the natural simpler model and capitalising on the recently proposed framework of penalized complexity (PC) priors. We illustrate our approach in two spatial examples where varying coefficient models are relevant.

A unified view on Bayesian varying coefficient models / Franco-Villoria, Maria; Ventrucci, Massimo; Rue, Håvard. - In: ELECTRONIC JOURNAL OF STATISTICS. - ISSN 1935-7524. - 13:2(2019), pp. 5334-5359. [10.1214/19-EJS1653]

A unified view on Bayesian varying coefficient models

Franco-Villoria, Maria;
2019

Abstract

Varying coefficient models are useful in applications where the effect of the covariate might depend on some other covariate such as time or location. Various applications of these models often give rise to case-specific prior distributions for the parameter(s) describing how much the coefficients vary. In this work, we introduce a unified view of varying coefficients models, arguing for a way of specifying these prior distributions that are coherent across various applications, avoid overfitting and have a coherent interpretation. We do this by considering varying coefficients models as a flexible extension of the natural simpler model and capitalising on the recently proposed framework of penalized complexity (PC) priors. We illustrate our approach in two spatial examples where varying coefficient models are relevant.
2019
13
2
5334
5359
A unified view on Bayesian varying coefficient models / Franco-Villoria, Maria; Ventrucci, Massimo; Rue, Håvard. - In: ELECTRONIC JOURNAL OF STATISTICS. - ISSN 1935-7524. - 13:2(2019), pp. 5334-5359. [10.1214/19-EJS1653]
Franco-Villoria, Maria; Ventrucci, Massimo; Rue, Håvard
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1198046
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