In this paper, we consider and examine the performance of two-step LM unit root tests with trend-breaks. In the first step, we jointly test for the existence and location of breaks using a maximum F-test. In the second step, we utilize the identified breaks and test for a unit root. A...

Diese Anmerkung zeigt, dass das reale Bruttoinlandsprodukt der Bundesrepublik Deutschland einem trendstationären Prozess folgt. Dabei werden sowohl ökonometrische Tests, bei denen die Trendstationarität die Alternativhypothese ist, eingesetzt als auch solche, bei denen sie die Nullhypothese...

Bitcoin is a decentralised cryptographic virtual currency scheme based on a peer-to-peer network that has attracted substantial number of users in recent years. In this paper, we investigate reasons behind its success and explosive behaviour in its exchange rates in 2013-14. We debate whether...

This note shows that German real GDP follows a trend-stationary process. Both tests which have trend-stationarity as the alternative hypothesis as well as tests that have it under the null hypothesis prefer the trend-stationary model. Explicit consideration of breaks in the trend is not...

In this paper, several seasonal unit root tests are analysed in the context of structural breaks at known time and a new break corrected test is suggested. We show that the widely used HEGY test as well as an LM variant thereof are asymptotically robust to seasonal mean shifts of finite...

Unit root tests for time series with level shifts are considered. The level shift is assumed to occur at a known time point. In contrast to some other proposals the level shift is modeled as part of the intercept term of the stationary component of the data generation process which is separated...

Two types of unit root tests which accommodate a structural level shift at a known point in time are extended to the situation where the break date is unknown. It is shown that for any estimator for the break date the tests have the same asymptotic distribution as the corresponding tests under...

This paper tests the Purchasing Power Parity Theory of Exchange Rates dealing with Argentinean data for the period 1900-2006. This is equivalent to testing if the Real Exchange Rate is a stationary variable or if its components (the nominal exchange rate and the relative prices) are...

The Perron test is the most commonly applied procedure to test for a unit root in the presence of a structural break of unknown timing in the trend function. Deriving the Perron-type test regression from an unobserved component model, it is shown that the test regression in fact is nonlinear in...

A novel procedure is applied to test for switches between hysteresis and the natural rate theory over more than a century of UK and USA unemployment data. For both the countries we see a period conforming to hysteresis starting in the early 1920s for the UK and 1930 for USA