Econometrica

Journal Of The Econometric Society

An International Society for the Advancement of Economic
Theory in its Relation to Statistics and Mathematics

Edited by: Guido W. Imbens • Print ISSN: 0012-9682 • Online ISSN: 1468-0262

Econometrica: May, 1983, Volume 51, Issue 3

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

https://doi.org/0012-9682(198305)51:3<799:MLEORM>2.0.CO;2-L
p. 799-820

Alok Bhargava, J. D. Sargan

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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