【摘 要】
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This paper systematically studies the statistical diagnosis and hypothesis testing for the semiparametric linear re-gression model according to the theories and
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This paper systematically studies the statistical diagnosis and hypothesis testing for the semiparametric linear re-gression model according to the theories and methods of the statistical diagnosis and hypothesis testing for parametric re-gression model.Several diagnostic measures and the methods for gross error testing are derived.Especially,the global and local influence analysis of the gross error on the parameter X and the nonparameter s are discussed in detail; at the same time,the paper proves that the data point deletion model is equivalent to the mean shift model for the semiparametric re-gression model.Finally,with one simulative computing example,some helpful conclusions are drawn.
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