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The Multivariate Ginar(p) Process

  • Alain Latour (a1)
Abstract

A criterion is given for the existence of a stationary and causal multivariate integer-valued autoregressive process, MGINAR(p). The autocovariance function of this process being identical to the autocovariance function of a standard Gaussian MAR(p), we deduce that the MGINAR(p) process is nothing but a MAR(p) process. Consequently, the spectral density is directly found and gives good insight into the stochastic structure of a MGINAR(p). The estimation of parameters of the model, as well as the forecasting of the series, is discussed.

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Postal address: Université du Québec à Montréal, Département de mathématiques, Case postale 8888, succursale Centre-Ville, Montréal, Québec, H3C 3P8, Canada.
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Research supported by the Natural Sciences and Engineering Research Council of Canada (NSERCC).

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Advances in Applied Probability
  • ISSN: 0001-8678
  • EISSN: 1475-6064
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