The paper provides an overview of techniques and methods in time series modeling and decompositions with focus on business cycle, models for seasonality, the moving holiday component, the trading-day component and the irregular component.

In this paper we provide an overview of some trend models formulated for global and local estimation. Global trend models are based on the assumption that the trend or nonstationary mean of a time series can be approximated closely by simple functions of time over the entire span of the series....