Temporal aggregation is known to affect the persistence of time series. We study the aggregation of flow variables as well as stock data, and difference-stationarity is allowed for. Moreover, moving averages encountered when computing annual growth rates (seasonal differences) are investigated....

In a multicointegrated consumption function, consumption is explained by income and wealth, where wealth is measured as cumulated saving. This implies that income and wealth are cointegrated, and their impact on consumption cannot be estimated from a static cointegrating regression. It is...

The behavior of impulse response coefficients as persistence measures is discussed under fractional integration. Results for long memory processes are extended to the antipersistent case of short memory.

For a fractional time series model integrated of order d we derive two results. First, it is obtained how a change in d affects the coefficients of the integration filter. For long memory (d0), the effect is always positive; in the case of anti-persistence (d0) the effect may be positive or...

Certain “spurious long memory” processes mimic the behavior of fractional integration in that the variance of their sample mean behaves like that of a fractionally integrated process of some order D. We show, however, experimentally that a fractional integration test may discriminate between...

Studying annual growth rates (seasonal differences) in case of seasonal data produces much more persistence, autocorrelation and stronger evidence in favour of a unit root than analyzing seasonal growth rates (ordinary differences). First, this statement is quantified theoretically. Second, it...

In this paper we compare the unemployment dynamics of the US and Germany with monthly data up to 2008. With data from 1971 on the evidence is mixed when applying descriptive methods or formal unit root tests. When allowing for fractional integration, however, we find similar results to the...