Discontinuity;
Jump point;
Change point;
Local linear kernel regression;
Nonparametric regression;
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摘要:
We address the problems of estimating the discontinuous regression function and also its jump points. We propose a method in two steps: we first estimate the jumps and finally the regression function is estimated by an adapted version of a local linear smoother which makes use of the estimated jumps. The practical performance of the proposed method is evaluated by using simulation studies and an application to a real-life problem.
机构:
Sobolev Inst Math, Novosibirsk 630090, Russia
Novosibirsk State Univ, Dept Probabil & Math Stat, Novosibirsk 630090, RussiaSobolev Inst Math, Novosibirsk 630090, Russia
Linke, Yuliana
Borisov, Igor
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机构:
Sobolev Inst Math, Novosibirsk 630090, Russia
Novosibirsk State Univ, Dept Probabil & Math Stat, Novosibirsk 630090, RussiaSobolev Inst Math, Novosibirsk 630090, Russia
Borisov, Igor
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Ruzankin, Pavel
Kutsenko, Vladimir
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机构:
Lomonosov Moscow State Univ, Dept Probabil Theory, Moscow 119234, Russia
Natl Med Res Ctr Therapy & Prevent Med, Dept Epidemiol Noncommunicable Dis, Moscow 101990, RussiaSobolev Inst Math, Novosibirsk 630090, Russia
Kutsenko, Vladimir
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Yarovaya, Elena
Shalnova, Svetlana
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机构:
Natl Med Res Ctr Therapy & Prevent Med, Dept Epidemiol Noncommunicable Dis, Moscow 101990, RussiaSobolev Inst Math, Novosibirsk 630090, Russia