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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Prior Sensitivity Analysis in a Semi-Parametric Integer-Valued Time Series Model

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Author(s):
Graziadei, Helton [1] ; Lijoi, Antonio [2, 3] ; Lopes, Hedibert F. [4] ; Marques F, Paulo C. [4] ; Pruenster, Igor [2, 3]
Total Authors: 5
Affiliation:
[1] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo - Brazil
[2] Bocconi Univ, Dept Decis Sci, Via Rontgen 1, I-20136 Milan - Italy
[3] Bocconi Univ, BIDSA, Via Rontgen 1, I-20136 Milan - Italy
[4] Insper Inst Educ & Res, Rua Quata 300, BR-04546042 Sao Paulo - Brazil
Total Affiliations: 4
Document type: Journal article
Source: Entropy; v. 22, n. 1 JAN 2020.
Web of Science Citations: 1
Abstract

We examine issues of prior sensitivity in a semi-parametric hierarchical extension of the INAR(p) model with innovation rates clustered according to a Pitman-Yor process placed at the top of the model hierarchy. Our main finding is a graphical criterion that guides the specification of the hyperparameters of the Pitman-Yor process base measure. We show how the discount and concentration parameters interact with the chosen base measure to yield a gain in terms of the robustness of the inferential results. The forecasting performance of the model is exemplified in the analysis of a time series of worldwide earthquake events, for which the new model outperforms the original INAR(p) model. (AU)

FAPESP's process: 17/10096-6 - Bayesian semiparametric analysis of autoregressive models
Grantee:Helton Graziadei de Carvalho
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 17/22914-5 - Time-clustering and forecasting performance in semi-parametric INAR(1) models
Grantee:Helton Graziadei de Carvalho
Support Opportunities: Scholarships abroad - Research Internship - Doctorate