ABSTRACT In this research note, we investigate the impact of misspecification of frailty distribution on the prediction of frailties by using shared frailty models with various estimation methods. We review the specification of a number of candidate frailty distributions and three estimation methods for the prediction of frailties in shared frailty models. We conducted statistical simulations to evaluate the performance of prediction of frailties in Cox proportional hazard shared frailty models with a working gamma frailty distribution and different estimation methods with misspecified frailty distributions. The goal of the statistical simulations is to examine the extent to which the frailty prediction is sensitive to misspecification of the frailty distributions and various estimation methods. An example of predicting the frailties of hospital readmissions of colorectal cancer patients after surgery or hospital discharge is presented to demonstrate the impact of such misspecification in survival analysis.

中文翻译：

---

关于使用错误指定的共享虚弱模型预测虚弱的说明

摘要 在本研究报告中，我们通过使用具有各种估计方法的共享虚弱模型来研究虚弱分布的错误指定对虚弱预测的影响。我们回顾了许多候选虚弱分布的规范和三种用于在共享虚弱模型中预测虚弱的估计方法。我们进行了统计模拟，以评估具有工作伽马衰弱分布的 Cox 比例风险共享衰弱模型中衰弱预测的性能，以及具有错误指定衰弱分布的不同估计方法。统计模拟的目标是检查衰弱预测对衰弱分布和各种估计方法的错误指定的敏感程度。