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A Note on Restricted Maximum Likelihood Estimation with an Alternative Outlier Model

R. Thompson
Journal of the Royal Statistical Society. Series B (Methodological)
Vol. 47, No. 1 (1985), pp. 53-55
Published by: Wiley for the Royal Statistical Society
Stable URL: http://www.jstor.org/stable/2345543
Page Count: 3
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A Note on Restricted Maximum Likelihood Estimation with an Alternative Outlier Model
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Abstract

For single outliers in normal theory fixed effects models a mean slippage model is commonly used. An alternative is to model the outlier as arising from an unknown observation with inflated variance. Maximum likelihood estimates for the position of the outlier under the two models need not agree. This paper considers maximizing a restricted part of the likelihood to estimate the variance parameters and characterizes these estimates in terms of standard least squares parameters. It is shown that the residual variance and outlier position are the same under both models.

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