The Multivariate Ginar(p) Process
- 1 March 1997
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 29 (1) , 228-248
- https://doi.org/10.2307/1427868
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.Keywords
This publication has 21 references indexed in Scilit:
- Elements of Multivariate Time Series AnalysisPublished by Springer Nature ,1993
- Introduction to Multiple Time Series AnalysisPublished by Springer Nature ,1991
- SOME SIMPLE MODELS FOR DISCRETE VARIATE TIME SERIES1Jawra Journal of the American Water Resources Association, 1985
- Extending the correlation structure of exponential autoregressive–moving-average processesJournal of Applied Probability, 1981
- Non-negative Matrices and Markov ChainsPublished by Springer Nature ,1981
- Discrete Analogues of Self-Decomposability and StabilityThe Annals of Probability, 1979
- Discrete Time Series Generated by Mixtures. I: Correlational and Runs PropertiesJournal of the Royal Statistical Society Series B: Statistical Methodology, 1978
- On Conditional Least Squares Estimation for Stochastic ProcessesThe Annals of Statistics, 1978
- Discrete Time Series Generated by Mixtures Ii: Asymptotic PropertiesJournal of the Royal Statistical Society Series B: Statistical Methodology, 1978
- Estimation theory for growth and immigration rates in a multiplicative processJournal of Applied Probability, 1972