加性乘积风险率模型在聚类失效时间数据中的应用
Application of Additive Multiplicative Hazard Rate Model in Clustered Failure Time Data
摘要: 论文对聚类失效时间数据建立了加性–乘积风险率函数模型，根据模型创建了估计方程，应用牛顿迭代法求得参数向量的估计，并给出估计量的相合性和渐近正态性的证明。通过数值模拟验证了估计量在有限样本下的表现，最后分析了慢性肉芽肿病风险率函数的影响因素和因素的影响方式。
Abstract: In this paper, an additive multiplicative hazard rate function model is established for clustered failure time data, an estimation equation is created according to the model, the estimation of parameter vector is obtained by Newton iterative method, and the consistency and asymptotic normality of estimators are proved. The performance of the estimator under limited samples is verified by numerical simulation. Finally, the influencing factors and ways of the hazard rate function of chronic granulomatosis are analyzed.
文章引用：康泽宇, 亢芳圆. 加性乘积风险率模型在聚类失效时间数据中的应用[J]. 应用数学进展, 2022, 11(2): 836-844. https://doi.org/10.12677/AAM.2022.112089

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