This paper extends the notion of common cycles to quarterly time series having unit roots both at the zero and seasonal frequencies. It is shown that common cycles are present in the Hylleberg±Engle±Granger±Yoo decomposition of these series when there exists a linear combination of their seasonal di
Prediction and Classification of Non-stationary Categorical Time Series
✍ Scribed by Konstantinos Fokianos; Benjamin Kedem
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 316 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0047-259X
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✦ Synopsis
Partial likelihood analysis of a general regression model for the analysis of nonstationary categorical time series is presented, taking into account stochastic time dependent covariates. The model links the probabilities of each category to a covariate process through a vector of time invariant parameters. Under mild regularity conditions, we establish good asymptotic properties of the estimator by appealing to martingale theory. Certain diagnostic tools are presented for checking the adequacy of the fit.
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