带治愈率的泊松幂加 Weibull 回归模型的残差分析

Pub Date : 2024-05-20 DOI:10.3390/stats7020030
C. R. Fidelis, E. M. Ortega, G. Cordeiro
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引用次数: 0

摘要

近年来,治愈率生存模型的使用越来越多。即便如此,对这些模型进行拟合优度检验的建议并不常见。然而,残差分析可用来检查拟合回归模型的适当性。在这种情况下,我们提供了带有治愈率的泊松指数化 Weibull 回归的 Cox-Snell 残差。为了研究这些残差的分布,我们在不同情况下进行了多次模拟。为了说明问题,我们将其应用于黑色素瘤数据集。
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Residual Analysis for Poisson-Exponentiated Weibull Regression Models with Cure Fraction
The use of cure-rate survival models has grown in recent years. Even so, proposals to perform the goodness of fit of these models have not been so frequent. However, residual analysis can be used to check the adequacy of a fitted regression model. In this context, we provide Cox–Snell residuals for Poisson-exponentiated Weibull regression with cure fraction. We developed several simulations under different scenarios for studying the distributions of these residuals. They were applied to a melanoma dataset for illustrative purposes.
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