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首页> 美国卫生研究院文献>SpringerPlus >Reliability analysis using an exponential power model with bathtub-shaped failure rate function: a Bayes study
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Reliability analysis using an exponential power model with bathtub-shaped failure rate function: a Bayes study

机译：使用具有浴缸形故障率函数的指数幂模型进行可靠性分析：贝叶斯研究

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摘要

Models with bathtub-shaped hazard function have been widely accepted in the field of reliability and medicine and are particularly useful in reliability related decision making and cost analysis. In this paper, the exponential power model capable of assuming increasing as well as bathtub-shape, is studied. This article makes a Bayesian study of the same model and simultaneously shows how posterior simulations based on Markov chain Monte Carlo algorithms can be straightforward and routine in R. The study is carried out for complete as well as censored data, under the assumption of weakly-informative priors for the parameters. In addition to this, inference interest focuses on the posterior distribution of non-linear functions of the parameters. Also, the model has been extended to include continuous explanatory variables and R-codes are well illustrated. Two real data sets are considered for illustrative purposes.
机译：具有浴缸状危险功能的模型在可靠性和医学领域已被广泛接受，并且在与可靠性相关的决策和成本分析中特别有用。在本文中，研究了能够假定呈浴缸形状的指数幂模型。本文对同一模型进行了贝叶斯研究，并同时展示了基于Markov链蒙特卡罗算法的后验模拟如何在R中简单明了，常规化。这项研究是针对完整数据和经审查的数据进行的，假设条件是：参数的先验信息。除此之外，推理兴趣集中在参数的非线性函数的后验分布上。而且，该模型已扩展为包括连续的解释变量，并且很好地说明了R代码。为了说明的目的，考虑了两个真实的数据集。

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