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Three-Component Mixture of Rayleigh Model Under Doubly Censored Samples: A Bayesian Look
Communications in Mathematics and Statistics ( IF 1.1 ) Pub Date : 2018-09-01 , DOI: 10.1007/s40304-018-0147-8
Navid Feroze , Muhammad Aslam

Feroze and Aslam (J Natl Sci Found Sri Lanka 42:325–334, 2014) and Sindhu et al. (J Mod Appl Stat Methods 13:259–286, 2014) have considered the Bayesian analysis of the two-component mixture of lifetime distributions under doubly censored samples. In this paper, the concept has been extended for the three-component mixture of lifetime (Rayleigh) distribution under doubly censored samples. The likelihood function for the mixture of lifetime models under doubly type-II censored samples has been introduced. Different priors and loss functions have been assumed for the derivation of Bayes estimators and posterior risks. The comparisons among various estimators have been made by analyzing the simulated and real data sets.

中文翻译:

双重删失样本下瑞利模型的三成分混合:贝叶斯外观

Feroze and Aslam(J Natl Sci Found Sri Lanka 42:325–334,2014)和Sindhu等。(J Mod Appl Stat Methods 13:259–286,2014)考虑了双重删失样本下寿命分布的两成分混合的贝叶斯分析。在本文中,该概念已扩展到双重删失样本下的寿命(Rayleigh)分布的三成分混合。引入了II型双重删失样本下的寿命模型混合的似然函数。对于贝叶斯估计量和后验风险的推导,假定了不同的先验和损失函数。通过分析模拟和真实数据集,可以对各种估计量进行比较。
更新日期:2018-09-01
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