The School of Mathematics and Statistics, Changchun University of Technology, Changchun, 130012, China.
The College of Economics and Management, Heilongjiang Bayi Agricultural University, Daqing, 163319, China.
Lifetime Data Anal. 2021 Jul;27(3):413-436. doi: 10.1007/s10985-021-09521-9. Epub 2021 Apr 24.
Current status data occur in many fields including demographical, epidemiological, financial, medical, and sociological studies. We consider the regression analysis of current status data with latent variables. The proposed model consists of a factor analytic model for characterizing latent variables through their multiple surrogates and an additive hazard model for examining potential covariate effects on the hazards of interest in the presence of current status data. We develop a borrow-strength estimation procedure that incorporates the expectation-maximization algorithm and correlated estimating equations. The consistency and asymptotic normality of the proposed estimators are established. A simulation study is conducted to evaluate the finite sample performance of the proposed method. A real-life study on the chronic kidney disease of type 2 diabetic patients is presented.
当前状态数据出现在许多领域，包括人口统计学、流行病学、金融、医学和社会学研究。我们考虑了带有潜在变量的当前状态数据的回归分析。所提出的模型由一个因子分析模型组成，通过多个替代物来描述潜在变量，以及一个加法风险模型，用于在存在当前状态数据的情况下检查潜在变量对感兴趣的风险的潜在协变量效应。我们开发了一种借用强度估计程序，该程序结合了期望最大化算法和相关估计方程。所提出的估计量的一致性和渐近正态性得到了确立。进行了一项模拟研究，以评估所提出方法的有限样本性能。介绍了一项关于 2 型糖尿病患者慢性肾脏病的实际研究。
