In this work, we present two defective regression models for the analysis of interval-censored competing risk data in the presence of cured individuals, viz., defective Gompertz and defective inverse Gaussian regression models. The proposed models enable us to estimate the cure fraction directly from the model. Simultaneously, we estimate the regression parameters corresponding to each cause of failure using the method of maximum likelihood. The finite sample behaviour of the proposed models is evaluated through Monte Carlo simulation studies. We illustrate the practical applicability of the models using a real-life data set on HIV patients.

翻译：本研究提出了两种缺陷回归模型，用于分析存在治愈个体的区间删失竞争风险数据，即缺陷型Gompertz回归模型与缺陷型逆高斯回归模型。所提模型能够直接从模型中估计治愈比例。同时，我们采用最大似然法估计了各失效原因对应的回归参数。通过蒙特卡洛模拟研究评估了所提模型在有限样本下的表现。我们利用HIV患者的实际数据集展示了模型的实际适用性。