Beta回归模型的影响诊断

Influence diagnostics in Beta regression model

应用曲率方法研究了Beta回归模型的局部影响分析问题,分别在加权扰动、响应变量扰动和自变量扰动模式下得到了相应的影响诊断统计量.同时还讨论了模型中散度参数的齐性检验问题,得到了Score检验统计量.最后通过具体的数值实例说明了所得统计量的有效性.

In Beta regression analysis, the local influence on the model based on curvature is discussed, and the corresponding diagnostic statistics are respectively obtained under the pertubation cases of weighted values, response variables and indepedent variables. Furthermore, the test of homogeneity for dispersion parameter in beta regression is investigated and the Score statistics for such test is obtained. Finally, a numerical example is given to illustrate our methodology.