广义半参数共享脆弱性模型估计及frailtySurv仿真
General Semiparametric Shared Frailty Model Estimation and Simulation with frailtySurv
摘要：
介绍了用于半参数共享脆弱性模型模拟和拟合的R软件frailtySurv。软件包frailtySurv实现了各种脆弱分布的半参数相合估计量，包括伽玛分布、对数正态分布、逆高斯分布和幂方差函数，并提供了参数估计量的标准误的相合估计量。参数的估计量是渐进正态分布的，因此可以使用正态分布进行基于该包结果的统计推断，例如假设检验和置信区间。大量的仿真实验证明了该估计器的灵活性和正确性。两个案例研究与公开可用的数据集证明了包的适用性。在糖尿病视网膜病变研究中，失明的发生按患者聚集，在大型硬盘驱动器故障数据集中，故障时间被认为是由硬盘驱动器制造商和型号聚集。
英文摘要：
The R package frailtySurv for simulating and fitting semi-parametric shared frailty models is introduced. Package frailtySurv implements semi-parametric consistent estimators for a variety of frailty distributions, including gamma, log-normal, inverse Gaussian and power variance function, and provides consistent estimators of the standard errors of the parameters' estimators. The parameters' estimators are asymptotically normally distributed, and therefore statistical inference based on the results of this package, such as hypothesis testing and confidence intervals, can be performed using the normal distribution. Extensive simulations demonstrate the flexibility and correct implementation of the estimator. Two case studies performed with publicly available datasets demonstrate applicability of the package. In the Diabetic Retinopathy Study, the onset of blindness is clustered by patient, and in a large hard drive failure dataset, failure times are thought to be clustered by the hard drive manufacturer and model.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
