Titlebook: Introduction to Modern Time Series Analysis; Gebhard Kirchgässner,Jürgen Wolters,Uwe Hassler Textbook 2013Latest edition Springer-Verlag G

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Granger Causality,ased on these models. However, the world does not consist of independent stochastic processes. Just the contrary: in accordance with general equilibrium theory, economists usually assume that everything depends on everything else. Therefore, the next question that arises is about (causal) relationships between different time series.

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Nonstationary Processes,DP series investigated in .. We tried to eliminate the trend by using first differences or growth rates. These filtered series can be investigated by employing the concepts that were developed for the analysis of stationary time series.

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Cointegration,increases over time, the series exhibits persistent behaviour and its first difference is stationary. For many economic time series, such a data generating process is a sufficient approximation, so that, in the following, we only consider processes which are integrated of order one (I(1)).

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er development should profit from integrated laboratory, meso- and macrocosm studies to deal with more specific and complex questions in early fish population dynamics. This strategy permits studies including post-metamorphosed stages. Larger programs within this field should utilize international c

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Gebhard Kirchgässner,Jürgen Wolters,Uwe Hasslering at a time when the holders of such obsolete tenures as leases for lives and copyholds of inheritance (formerly included among the yeomen) had recently been, or were still being, bought out by their landlords and their tenancies exchanged for annual agreements or leases for terms of years..