Arbeitspapier

Periodic Unobserved Cycles in Seasonal Time Series with an Application to US Unemployment

This paper discusses identification, specification, estimation and forecasting for a general class of periodic unobserved components time series models with stochastic trend, seasonal and cycle components. Convenient state space formulations are introduced for exact maximum likelihood estimation, component estimation and forecasting. Identification issues are considered and a novel periodic version of the stochastic cycle component is presented. In the empirical illustration, the model is applied to postwar monthly US unemployment series and we discover a significantly periodic cycle. Furthermore, a comparison is made between the performance of the periodic unobserved components time series model and a periodic seasonal autoregressive integrated moving average model. Moreover, we introduce a new method to estimate the latter model.

Language
Englisch

Bibliographic citation
Series: Tinbergen Institute Discussion Paper ; No. 06-101/4

Classification
Wirtschaft
Single Equation Models; Single Variables: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
Model Construction and Estimation
Business Fluctuations; Cycles
Prices, Business Fluctuations, and Cycles: Forecasting and Simulation: Models and Applications
Subject
Unobserved component models
state space methods
seasonal adjustment
time–varying parameters
forecasting

Event
Geistige Schöpfung
(who)
Koopman, Siem Jan
Ooms, Marius
Hindrayanto, Irma
Event
Veröffentlichung
(who)
Tinbergen Institute
(where)
Amsterdam and Rotterdam
(when)
2006

Handle
Last update
10.03.2025, 11:44 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Koopman, Siem Jan
  • Ooms, Marius
  • Hindrayanto, Irma
  • Tinbergen Institute

Time of origin

  • 2006

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