کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1147697 | 957787 | 2011 | 11 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Deletion diagnostics for generalized linear models using the adjusted Poisson likelihood function Deletion diagnostics for generalized linear models using the adjusted Poisson likelihood function](/preview/png/1147697.png)
In this article, we propose two novel diagnostic measures for the deletion of influential observations for regression parameters in the setting of generalized linear models. The proposed diagnostic methods are capable for detecting the influential observations under model misspecification, as long as the true underlying distributions have finite second moments.More specifically, it is demonstrated that the Poisson likelihood function can be properly adjusted to become asymptotically valid for practically all underlying discrete distributions. The adjusted Poisson regression model that achieves the robustness property is presented. Simulation studies and an illustration are performed to demonstrate the efficacy of the two novel diagnostic procedures.
Journal: Journal of Statistical Planning and Inference - Volume 141, Issue 6, June 2011, Pages 2044–2054