Ohud A. Alqasem , Mazen Nassar , Maysaa Elmahi Abd Elwahab , Ahmed Elshahhat
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引用次数: 0
摘要
本文旨在研究 Burr-X 竞争风险模型在自适应渐进式 II 型删减样本中的应用。在这种情况下,移除模式被假定为遵循二项分布的随机变量,与假定固定的移除模式相比,这是一种更现实的假定。在本研究中,我们探索了经典和贝叶斯估计方法来估计 Burr-X 竞争风险模型的参数,以及可靠性参数和二项分布参数。利用最大似然估计值的渐近正态性确定了不同参数的区间范围。此外,贝叶斯可信区间是通过使用马尔科夫链蒙特卡罗程序从联合后验分布中采样计算得出的。为了评估所获得的估计器的效率,进行了一项综合模拟研究,考虑了各种类型的实验设计。最后,通过分析电极和电子设备的数据集,考虑了两种应用。
Analyzing Burr-X competing risk model using adaptive progressive Type-II censored binomial removal data with application to electrodes and electronics
The aim of this paper is to investigate the Burr-X competing risks model in the context of adaptive progressively Type-II censored samples. In this scenario, the removal pattern is assumed to be a random variable that follows the binomial distribution, which is a more realistic assumption compared to assuming a fixed removal pattern. In this study, we explore both classical and Bayesian estimation approaches to estimate the parameters of the Burr-X competing risks model, as well as the reliability parameter and the parameter of the binomial distribution. The interval ranges of different parameters are determined by utilizing the asymptotic normality of the maximum likelihood estimators. Furthermore, the Bayes credible intervals are calculated by sampling from the joint posterior distribution using the Markov Chain Monte Carlo procedure. To assess the efficiency of the acquired estimators, a comprehensive simulation study that considered various types of experimental designs is conducted. Finally, two applications are considered by analyzing data sets of electrodes and electronics.
期刊介绍:
Journal of Radiation Research and Applied Sciences provides a high quality medium for the publication of substantial, original and scientific and technological papers on the development and applications of nuclear, radiation and isotopes in biology, medicine, drugs, biochemistry, microbiology, agriculture, entomology, food technology, chemistry, physics, solid states, engineering, environmental and applied sciences.