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Maximum Likelihood Estimation of Regression Models with First Order Moving Average Errors when the Root Lies on the Unit Circle

J. D. Sargan and Alok Bhargava
Econometrica
Vol. 51, No. 3 (May, 1983), pp. 799-820
Published by: The Econometric Society
DOI: 10.2307/1912159
Stable URL: http://www.jstor.org/stable/1912159
Page Count: 22
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Maximum Likelihood Estimation of Regression Models with First Order Moving Average Errors when the Root Lies on the Unit Circle
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Abstract

This paper considers the maximum likelihood estimator of the first order moving average process when the true value of the coefficient is one. The results are also extended to regression analysis. It is shown that there is a local maximum of the likelihood function within an interval of O(T^-^1) of the true value and also that the probability that the maximum occurs exactly at the true value and also that the probability that the maximum occurs exactly at the true value can be calculated in finite samples.

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