Likelihood-Based Inference in Cointegrated Vector Autoregressive Models

Søren Johansen

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Language: English

Published by Oxford University Press, GB, 1995

0198774508 / 9780198774501

Series: Book 9 of 26 - Advanced Texts in Econometrics

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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.

Seller Inventory # LU-9780198774501

Title
Likelihood-Based Inference in Cointegrated Vector Autoregressive Models
Author
Søren Johansen
Publisher
Oxford University Press, GB
Publication year
1995
Condition
New
Binding
Paperback
Language
English
ISBN 10
0198774508
ISBN 13
9780198774501
Item weight
425 grams
Series
Book 9 of 26: Advanced Texts in Econometrics

Rarewaves.com UK

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