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313816

Maximum Likelihood and Method of Moments in Cointegration

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Last updated: 28 Dec 2024

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Abstract

This paper compares Johansen's method of maximum likelihood for the reduced rank regression with the method of moments for first differences suggested by Laroque and Salanié. The maximum likelihood estimator is known to be super consistent with a distribution that consists of functionals of the Wiener process while the method of moments estimator is shown to be consistent and asymptotically normal for the common cointegrated model without autocorrelation. A Monte Carlo study for the bivariate case indicates that finite sample properties are consistent with asymptotic results even for samples of less than 100. While the method of moments procedure produces normal distributions so that inference will be straightforward, it has the disadvantage of having larger variability than the maximum likelihood estimators (at least in the case of no autocorrelation considered here).   

DOI

10.21608/esju.2001.313816

Keywords

Asymptotic Properties, Single Equation Approach, Monte Carlo

Volume

45

Article Issue

2

Related Issue

43029

Issue Date

2001-12-01

Publish Date

2001-12-01

Page Start

216

Page End

231

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313816.html

Detail API

https://esju.journals.ekb.eg/service?article_code=313816

Order

8

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

Maximum Likelihood and Method of Moments in Cointegration

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Type

Article

Created At

28 Dec 2024