Abstract

Motivated by the works of Irwin and Rodríguez-Avi et al., a destructive Waring regression cure model is developed here. This model enables the patients to be protagonists for the treatment and also facilitates an understanding of the nature of overdispersion of competing risk factors to prevent higher risk of the event of interest. The cure rate and the destructive mechanism (immune system) are personalized and the overdispersion of risk factors is explained through the decomposition of variance components: randomness, external frailty (unknown covariates) and internal frailty (destructive mechanism). A simulation study demonstrates the effectiveness of the proposed model and associated inferential method. Finally, an illustrative example shows that the internal frailty is an important factor in recurrent sinus disease among HIV-positive patients.

摘要

根据Irwin和Rodríguez-Avi等人的工作，在此开发了破坏性的Waring回归治愈模型。该模型使患者成为治疗的主角，也有助于了解竞争性危险因素过度分散的性质，以防止发生感兴趣事件的更高风险。治愈率和破坏机理（免疫系统）是个性化的，并且通过方差成分的分解来解释风险因素的过度分散：随机性，外部脆弱（未知的协变量）和内部脆弱（破坏机理）。仿真研究证明了所提出模型和相关推论方法的有效性。最后，一个说明性的例子表明，内部脆弱是艾滋病毒阳性患者复发性鼻窦疾病的重要因素。