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Risk Comparison of Inequality Constrained Estimators in the Heteroscedastic Linear Model

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There exist many studies which treat the inequality and/or interval constraints on coefficients in the homoscedastic linear regression model. However, the sampling performance of the inequality constrained estimators in the heteroscedastic linear model has not been examined. This paper considers the inequality constrained estimators in the heteroscedastic linear regression model and derives their risks under a quadratic loss function. Furthermore, using the inequality constrained estimators, we introduce a pre-test estimator which might be employed after the test for homoscedasticity and derive its risk. In addition, the risk performance of these estimators is evaluated numerically.
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Keywords: INCLS estimator (INCLSE); heteroscedastic linear regression model; inequality constrained 2SAE (IC2SAE); inequality constrained estimator; pre-test estimator; two-stage Aitken estimator (2SAE)

Document Type: Original Article

Affiliations: Hokkaido University

Publication date: June 1, 1998

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