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Resumo
In this project we study problems of inference and forecasting in autoregressive models with periodic correlation from a Bayesian perspective. Normality and unimodality assumptions are rarely verified in practice and the usual approach is to try Box-Cox transformations to obtain approximate normality and stabilize the periodic variance. More recently, mixture models were developed to take into account asymmetry and multimodality.
Participants
- Ricardo Ehlers (UFPR)
- Marinho Gomes de Andrade (USP)
Some references
- [2002, article]
- Lewis, P. A. W., & Ray, B. K. (2002). Nonlinear Modelling of Periodic Threshold Autoregressions using TSMARS. Journal of Time Series Analysis, 23(4), 459-471.
- [2006, article]
- Shao, Q. (2006). Mixture Periodic Autoregressive Time Series Models. Statistics and Probability Letters, 76, 609-618.