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Likelihood-Based Inference in Cointegrated Vector Autoregressive Models

Autor: Soren Johansen

Język:

Oprawa: Miękka

Wydawca: Oxford University Press

Dostępność: Dostępna u dostawcy

Wysyłamy za 10-18 dni

352.84 zł

This book gives a detailed mathematical and statistical analysis of the cointegrated vector autoregr...

Informacje o książce

Autor

Soren Johansen

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

1995

strony

280

EAN

9780198774501

ISBN

0198774508

Enbook ID

04033670

Wydawca

Oxford University Press

Waga

416

Wymiary

156 x 232 x 16

Pełny opis

This book gives a detailed mathematical and statistical analysis of the cointegrated vector autoregresive model. This model had gained popularity because it can at the same time capture the short-run dynamic properties as well as the long-run equilibrium behaviour of many non-stationary time series. It also allows relevant economic questions to be formulated in a consistent statistical framework. Part I of the book is planned so that it can be used by those who want to apply the methods without going into too much detail about the probability theory. The main emphasis is on the derivation of estimators and test statistics through a consistent use of the Guassian likelihood function. It is shown that many different models can be formulated within the framework of the autoregressive model and the interpretation of these models is discussed in detail. In particular, models involving restrictions on the cointegration vectors and the adjustment coefficients are discussed, as well as the role of the constant and linear drift. In Part II, the asymptotic theory is given the slightly more general framework of stationary linear processes with i.i.d. innovations. Some useful mathematical tools are collected in Appendix A, and a brief summary of weak convergence in given in Appendix B. The book is intended to give a relatively self-contained presentation for graduate students and researchers with a good knowledge of multivariate regression analysis and likelihood methods. The asymptotic theory requires some familiarity with the theory of weak convergence of stochastic processes. The theory is treated in detail with the purpose of giving the reader a working knowledge of the techniques involved. Many exercises are provided. The theoretical analysis is illustrated with the empirical analysis of two sets of economic data. The theory has been developed in close contract with the application and the methods have been implemented in the computer package CATS in RATS as a result of a rcollaboation with Katarina Juselius and Henrik Hansen.