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Bayesian Analysis of Two-Component Mixture of Weibull Distributions Using Approximation Techniques
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences ( IF 0.9 ) Pub Date : 2020-07-18 , DOI: 10.1007/s40010-020-00692-y
Muhammad Aslam , Navid Feroze

We have considered the posterior estimation of two-component mixture of Weibull distribution under type-I right censoring. As the resultant Bayes estimators and posterior risks are not in close form, we have proposed Lindley’s approximation and importance sampling for the approximate solutions. The performance of the approximation methods and estimators under study has been compared using simulated and real-life datasets. The results indicated that importance sampling has some edge over Lindley’s approximation in terms of performance and computational easiness.



中文翻译:

用近似技术对威布尔分布的两组分混合物进行贝叶斯分析

我们考虑了在I型右删失下威布尔分布的两成分混合的后验估计。由于最终的贝叶斯估计量和后验风险不是紧密形式,因此我们为近似解提出了Lindley的近似和重要性抽样。使用模拟和真实数据集比较了所研究的近似方法和估计器的性能。结果表明,重要性抽样在性能和计算易用性方面比Lindley的近似法有优势。

更新日期:2020-07-18
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