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2015 | OriginalPaper | Buchkapitel

A Periodic Bivariate Integer-Valued Autoregressive Model

verfasst von : Magda Monteiro, Manuel G. Scotto, Isabel Pereira

Erschienen in: Dynamics, Games and Science

Verlag: Springer International Publishing

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Abstract

In this paper, a bivariate integer-valued autoregressive model with periodic structure is introduced and studied in some detail. The model can be view as a generalization of the one considered in Pedeli and Karlis (Stat. Model. 11:325–349, 2011). Emphasis is placed on models with periodic bivariate Poisson innovations. Basic probabilistic and statistical properties of the model are discussed as well as parameter estimation and forecasting. The proposed model is applied to a bivariate data series concerning the monthly number of fires in neighbor counties, Aveiro and Coimbra, in Portugal.

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Metadaten
Titel
A Periodic Bivariate Integer-Valued Autoregressive Model
verfasst von
Magda Monteiro
Manuel G. Scotto
Isabel Pereira
Copyright-Jahr
2015
DOI
https://doi.org/10.1007/978-3-319-16118-1_24