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Bayesian generalizations of the integer-valued autoregressive model

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Author(s):
C. Marques F., Paulo ; Graziadei, Helton ; Lopes, Hedibert F.
Total Authors: 3
Document type: Journal article
Source: Journal of Applied Statistics; v. 49, n. 2, p. 21-pg., 2020-08-29.
Abstract

We develop two Bayesian generalizations of the Poisson integer-valued autoregressive model. The AdINAR(1) model accounts for overdispersed data by means of an innovation process whose marginal distributions are finite mixtures, while the DP-INAR(1) model is a hierarchical extension involving a Dirichlet process, which is capable of modeling a latent pattern of heterogeneity in the distribution of the innovations rates. The probabilistic forecasting capabilities of both models are put to test in the analysis of crime data in Pittsburgh, with favorable results. (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