摘要
考虑一列非线性回归模型 ,利用Bate和Watt的理论得到了其固有曲率和参数效应曲率 ,分析了参数效应曲率的弊端 ,指出其与许多模拟研究结果不吻合 ,利用待估参数与迭代初始值之间的函数关系及其微商运算构造了一种新的非线性度量方法 ,它不再具有参数效应曲率的蔽端 ,并在其它正常情况与Bate和Watt的理论相吻合 ,最后对Fieller -Creasy模型作了较为详细的研究 .
For partially nolinear models,the Intrinsic Curvature and Parameter-effects Curvature were obtained by Bates and Watts'theory.And a new curvature about the measure of non-linearity was defined.The method was based on the estimating parameter's derivative of the starting values.The new theory were applied to fielder-Creasy model and a pathological example.
基金
常德师范学院科研基金 [JJ0 2 11]
