Integer-valued self-exciting threshold autoregressive processes

In this article, we introduce a class of self-exciting threshold integer-valued autoregressive models driven by independent Poisson-distributed random variables. Basic probabilistic and statistical properties of this class of models are discussed. Moreover, parameter estimation is also addressed. Sp...

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Detalhes bibliográficos
Autor principal: Monteiro, M. (author)
Outros Autores: Scotto, M.G. (author), Pereira, I. (author)
Formato: article
Idioma:eng
Publicado em: 2012
Assuntos:
Texto completo:http://hdl.handle.net/10773/9303
País:Portugal
Oai:oai:ria.ua.pt:10773/9303
Descrição
Resumo:In this article, we introduce a class of self-exciting threshold integer-valued autoregressive models driven by independent Poisson-distributed random variables. Basic probabilistic and statistical properties of this class of models are discussed. Moreover, parameter estimation is also addressed. Specifically, the methods of estimation under analysis are the least squares-type and likelihood-based ones. Their performance is compared through a simulation study. Copyright © 2012 Taylor and Francis Group, LLC.