Prediction for future failures in Weibull distribution under hybrid censoring

Prediction for future failures in Weibull distribution under hybrid censoring
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DOI:
10.1080/00949655.2013.848451
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发表时间:
2015-03
影响因子:
1.2
通讯作者:
A. Asgharzadeh;R. Valiollahi;D. Kundu
A. Asgharzadeh;R. Valiollahi;D. Kundu
中科院分区:
数学4区
文献类型:
--
作者:
A. Asgharzadeh;R. Valiollahi;D. Kundu

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在本文中,我们考虑的预测的未来观测的基础上的第一型混合截尾样本时,实验单元的寿命分布假定为威布尔随机变量。不同的经典和贝叶斯点预测。贝叶斯预测使用平方误差和线性指数损失函数。我们还提供了一个模拟一致的方法来计算贝叶斯预测区间。蒙特卡洛模拟进行比较不同的方法的性能,并已提出一个数据分析说明的目的。
In this paper, we consider the prediction of a future observation based on a type-I hybrid censored sample when the lifetime distribution of experimental units is assumed to be a Weibull random variable. Different classical and Bayesian point predictors are obtained. Bayesian predictors are obtained using squared error and linear-exponential loss functions. We also provide a simulation consistent method for computing Bayesian prediction intervals. Monte Carlo simulations are performed to compare the performances of the different methods, and one data analysis has been presented for illustrative purposes.