PMSE performance of two different types of preliminary test estimators under a multivariate t error term

Haifeng Xu and Kazuhiro Ohtani

Communications in Statistics - Theory and Methods, 2019, vol. 48, issue 17, 4320-4338

Abstract: In this paper, assuming that the error terms follow a multivariate t distribution, we derive the exact formula for the predictive mean squared error (PMSE) of two different types of pretest estimators. It is shown analytically that one of the pretest estimator dominates the SR estimator if a critical value of the pretest is chosen appropriately. Also, we compare the PMSE of the pretest estimators with the MMSE, AMMSE, SR and PSR estimators by numerical evaluations. Our results show that the pretest estimators dominate the OLS estimator for all combinations when the degrees of freedom is not more than 5. Key Words: Predictive mean squared error; Homogeneous preliminary test estimator; Heterogeneous preliminary test estimator; Multivariate t error term.

Date: 2019
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DOI: 10.1080/03610926.2018.1494286

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