We investigate the performance of a battery of standard unit root tests when the true data generating process has a Markov-switching trend growth rate and variance. Regime switching under both the null hypothesis of a unit root and the alternative hypothesis of trend stationarity is considered. In contrast to the case of a single break in trend growth rate, multiple Markov-switching breaks unde...

In this paper, we consider a sufficiently broad class of non-linear mathematical programs with disjunctive constraints, which, e.g. include mathematical programs with complemetarity/vanishing constraints. We present an extension of the concept of [Formula: see text]-stationarity which can be easily combined with the well-known notion of M-stationarity to obtain the stronger property of so-calle...

We consider optimization problems with a disjunctive structure of the constraints. Prominent examples of such problems are mathematical programs with equilibrium constraints or vanishing constraints. Based on the concepts of directional subregularity and their characterization by means of objects from generalized differentiation, we obtain the new stationarity concept of extended M-stationarity...

Abstract: This paper adopts a different approach to the study of the persistence of U.S. GNP. First, this paper uses a more powerful version of the ADF test developed by Elliot, Rothenberg and Stock (1992). Second, we also examine the results from a unit root test that has trend stationarity as the null (Kwiatkowski et al., 1992). Third, simulated critical values generated from plausible trend ...

AStrion is an automatic spectrum analyser software, which proposes a new generic and data-driven method without any a priori information on the measured signals. In order to compute some general characteristics and derive the properties of the signal, the first step in this approach is to give some insight into the nature of the signal. This pre-analysis, the so-called data validation, contains...

We study the notion of tightly stationary sets which was introduced by Foreman and Magidor in [8]. We obtain two consistency results which show that it is possible for a sequence of regular cardinals hnin<! to have the property that for every sequence ~ S, of some fixed-cofinality stationary sets Sn ✓ n, ~ S is tightly stationary in a generic extension. The results are obtained using variatio...

We investigate for 26 OECD economies if their current account imbalances are driven by stochastic trends. Standard ADF results are contrasted with tests accounting for the bounded support of the current account. Neglecting the latter feature might give misleading results in the sense that ADF based conclusions are biased towards the rejection of unit root features. The current account imbalance...