Statistical Inference for a Simple Step Stress Model with Competing Risks Based on Generalized Type-I Hybrid Censoring

S. Mao, Bin Liu, Yimin Shi
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引用次数: 1

Abstract

Abstract This paper investigates a simple step-stress accelerated lifetime test (SSALT) model for the inferential analysis of exponential competing risks data. A generalized type-I hybrid censoring scheme is employed to improve the efficiency and controllability of the test. Firstly, the MLEs for parameters are established based on the cumulative exposure model (CEM). Then the conditional moment generating function (MGF) for unknown parameters is set up using conditional expectation and multiple integral techniques. Thirdly, confidence intervals (CIs) are constructed by the exact MGF-based method, the approximate normality-based method, and the bias-corrected and accelerated (BCa) percentile bootstrap method. Finally, we present simulation studies and an illustrative example to compare the performances of different methods.
基于广义i型混合滤波的具有竞争风险的简单阶跃应力模型的统计推断
摘要本文研究了一种简单阶跃应力加速寿命试验(SSALT)模型,用于指数竞争风险数据的推理分析。为了提高试验的效率和可控性,采用了一种广义的i型混合滤波方案。首先,基于累积暴露模型(CEM)建立了各参数的最大模量;然后利用条件期望和多重积分技术建立未知参数的条件矩生成函数。第三,采用基于精确mgf的方法、基于近似正态性的方法和基于偏差校正和加速(BCa)百分位bootstrap方法构建置信区间。最后,我们进行了仿真研究并举例比较了不同方法的性能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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