We find that short rates are more nonstationary than longer rates and that differences in conditional volatility exist between different maturities. Therefore, their dynamics may be both maturity specific and country specific, and any a priori generalizing assumptions may be misleading.

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.

This work endeavors to study the long-range dependence of the international diamond market. The results from the modified R/S statistic suggest that diamond returns do not have long memory, while strong evidence is found for long memory in diamond volatilities.

We study the empirical behaviour of semi-parametric estimation for long-memory models when the true data generating process exhibits a change in persistence. Evidence for long memory is likely to be found. Procedures for discrimination between different models are proposed.

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...

We show that the (Baillie and Chung, 2001) minimum distance estimates of the GARCH (1,1) model induce spurious persistence in the volatility when there are structural changes in the mean of the process.

This paper considers the theoretical justifications of Lütkpohl’s (1988) test statistics when the data-generating process is relaxed to be a stationary ARFIMA process. Under suitable regularity conditions, we prove the applicability of Lütkpohl’s (1988) method to the stationary ARFIMA (p,...

In an influential work by Diebold and Inoue (2001), the Markov switching model was shown to exhibit long memory, in terms of the behavior of the second moments of partial sums. The relationship between the Markov switching model and long memory is reexamined here. Common estimators of the long...

The properties of an iterative procedure for the estimation of the parameters of an ARFIMA process are investigated in a Monte Carlo study. The estimation procedure is applied to stock returns data for 15 countries.

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....