基于pena距离的非线性回归模型的影响分析

基于pena距离统计量对非线性回归模型的影响分析进行了讨论，得到了非线性回归模型的pena距离公式，并对公式的分析性质以及其对高杠异常点的检测作用做出了相应的结论，得出了在一定条件下pena距离对异常点的检测优于Cook距离的结论，特别是对高杠杆异常点的检验，pena距离的效果更加明显，给出了实际数据检验结果，对方法的有效性进行了验证。

Influence Analysis on Nonlinear Regression Model Based on Pena Distance

The influence analysis of nonlinear regression model based on the Pena distance is discussed, The expression of Pena distance on nonlinear regression model is obtained and its analytic properties are discussed. Meanwhile, the conclusions are obtained that the Pena distance＇s checking is superior than the Cook distance＇s on certain conditions. In particular, the effect of Pena distance＇s checking is more obvious for checking highleverage outlier point. An example is shown to illustrate the validity of the method.