The paper introduces a nonparametric estimator for the regression function of left truncated and right censored data, achieved through minimising the mean squared relative error. Under & alpha;-mixing condition, strong uniform convergence of the estimator is established with a rate over a compact set. An extensive simulation study is conducted to assess the estimator's performance, comparing its efficiency to that of the classical regression estimator for finite samples across various scenarios. Moreover, a real world application is presented to demonstrate the practical utility of the proposed estimator.
机构:
Northwestern Univ, Dept Stat, Evanston, IL 60208 USA
Anhui Univ, Sch Math Sci, Hefei 230039, Peoples R ChinaNorthwestern Univ, Dept Stat, Evanston, IL 60208 USA
Zhao, Mu
Jiang, Hongmei
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Northwestern Univ, Dept Stat, Evanston, IL 60208 USANorthwestern Univ, Dept Stat, Evanston, IL 60208 USA
Jiang, Hongmei
Liu, Xu
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Northwestern Univ, Dept Stat, Evanston, IL 60208 USANorthwestern Univ, Dept Stat, Evanston, IL 60208 USA
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Tashkent State Univ, Fac Mech & Math, Dept Probabil Theory & Math Stat, Tashkent 700095, UzbekistanTashkent State Univ, Fac Mech & Math, Dept Probabil Theory & Math Stat, Tashkent 700095, Uzbekistan