In this paper, we develop a relative cumulative residual information (RCRI) measure that intends to quantify the divergence between two survival functions. The dynamic relative cumulative residual information (DRCRI) measure is also introduced. We establish some characterization results under the proportional hazards model assumption. Additionally, we obtained the non-parametric estimators of RCRI and DRCRI measures based on the kernel density type estimator for the survival function. The effectiveness of the estimators are assessed through an extensive Monte Carlo simulation study. We consider the data from the third Gaia data release (Gaia DR3) for demonstrating the use of the proposed measure. For this study, we have collected epoch photometry data for the objects Gaia DR3 4111834567779557376 and Gaia DR3 5090605830056251776.

翻译：本文提出了一种相对累积残差信息度量，旨在量化两个生存函数之间的差异。同时引入了动态相对累积残差信息度量。我们在比例风险模型假设下建立了一些表征结果。此外，基于生存函数的核密度型估计量，我们获得了RCRI和DRCRI度量的非参数估计量。通过广泛的蒙特卡洛模拟研究评估了这些估计量的有效性。我们采用第三次盖亚数据发布的数据来演示所提出度量的应用。本研究收集了天体Gaia DR3 4111834567779557376和Gaia DR3 5090605830056251776的历元测光数据。