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Generalized penalized least squares and its statistical characteristics
Authors:Ding Shijun  Tao Benzao
Institution:School of Geodesy and Geomatics , Wuhan University , Wuhan , China
Abstract:The solution properties of semiparametric model are analyzed, especially that penalized least squares for semiparametric model will be invalid when the matrixBTPB is ill-posed or singular. According to the principle of ridge estimate for linear parametric model, generalized penalized least squares for semiparametric model are put forward, and some formulae and statistical properties of estimates are derived. Finally according to simulation examples some helpful conclusions are drawn.
Keywords:semiparametric model  penalized least squares  generalized penalized least squares  statistical property  ill-posed matrix  ridge estimate
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