In this article,a procedure for estimating the coefficient functions on the functional-coefficient regression models with different smoothing variables in different coefficient functions is defined.First step,by the l...In this article,a procedure for estimating the coefficient functions on the functional-coefficient regression models with different smoothing variables in different coefficient functions is defined.First step,by the local linear technique and the averaged method,the initial estimates of the coefficient functions are given.Second step,based on the initial estimates,the efficient estimates of the coefficient functions are proposed by a one-step back-fitting procedure.The efficient estimators share the same asymptotic normalities as the local linear estimators for the functional-coefficient models with a single smoothing variable in different functions.Two simulated examples show that the procedure is effective.展开更多
文摘In this article,a procedure for estimating the coefficient functions on the functional-coefficient regression models with different smoothing variables in different coefficient functions is defined.First step,by the local linear technique and the averaged method,the initial estimates of the coefficient functions are given.Second step,based on the initial estimates,the efficient estimates of the coefficient functions are proposed by a one-step back-fitting procedure.The efficient estimators share the same asymptotic normalities as the local linear estimators for the functional-coefficient models with a single smoothing variable in different functions.Two simulated examples show that the procedure is effective.
文摘为了提高光笔式便携三维坐标视觉测量系统的稳定性,根据系统的测量原理和成像机理,在CCD摄像机像平面内对光笔上被测控制点的实际像点坐标进行平面直线最小二乘拟合,得到修正后的实际像点坐标;对计算出的被测控制点坐标在摄像机坐标系中进行空间直线的最小二乘拟合,得到修正后的被测控制点坐标,推导出了平面和空间直线的最小二乘拟合和数据修正公式.实验结果表明,经过上述数据处理后,被测点坐标的测量稳定性在Z,Y,X方向上可分别提高0.644mm,0.04 mm,0.002 mm.
