Multiple structural change tests by Bai and Perron (Econometrica 66:47–78, <CitationRef CitationID="CR2">1998</CitationRef>) are applied to the regression by Demetrescu et al. (Econ Theory 24:176–215, <CitationRef CitationID="CR15">2008</CitationRef>) in order to detect breaks in the order of fractional integration. With this instrument we tackle time-varying inflation...</citationref></citationref>

We test the possibility that exchange rates from nine developed countries have a unit root against the alternate possibility that they are fractionally integrated. Theoretically, exchange rates are only expected to follow a random walk under restrictive assumptions. However, most traditional...

We show in this article that fractionally integrated univariate models for GDP lead to a better replication of the main business cycle characteristics. We firstly show that the business cycle features are clearly affected by the degree of integration as well as by the other short run (AR, MA,...

This article analyses the long memory properties of quarterly real output per capita in the US (1948Q1–2008Q3) using non-parametric, semi-parametric and parametric techniques. The results vary substantially depending on the methodology employed. Evidence of mean reversion is obtained in a...

A key application of long memory time series models concerns inflation. Long memory implies that shocks have a long-lasting effect. It may however be that empirical evidence for long memory is caused by neglecting one or more level shifts. Since such level shifts are not unlikely for inflation,...

This paper examines several US monthly financial time series using fractional integration and cointegration techniques. The univariate analysis based on fractional integration aims to determine whether the series are I(1) (in which case markets might be efficient) or alternatively I(d) with <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$d...</equationsource></inlineequation>