论文标题
对指数和Lomax分布的混合物的古典和贝叶斯分析
Classical and Bayesian Analyses of a Mixture of Exponential and Lomax Distributions
论文作者
论文摘要
指数和LOMAX分布广泛用于混合模型中的生命测试实验。提出了指数分布和Lomax分布的混合模型。提出的模型的参数是使用I型右审查下的经典和贝叶斯程序估算的。假设在对称和不对称损耗函数下，贝叶斯估计量的表达式被得出，假设有非信息（统一和杰弗里斯）先验。得出了未来观察的后验预测分布，并获得了预测估计。进行了广泛的蒙特卡洛模拟，以根据样本量，检查时间和混合比例来研究估计量的性能。使用发射机接收器的寿命集进行混合模型的分析。观察并讨论了估计量的有趣属性。
The exponential and the Lomax distributions are widely used in life testing experiments in mixture models. A mixture model of exponential distribution and Lomax distribution is proposed. Parameters of the proposed model are estimated using classical and Bayesian procedures under type-I right censoring. Expressions for Bayes estimators are derived assuming noninformative (uniform and Jeffreys) priors under symmetric and asymmetric loss functions. Posterior predictive distributions of a future observation are derived and predictive estimates are obtained. Extensive Monte Carlo simulations are carried out to investigate performance of the estimators in terms of sample sizes, censoring times and mixing proportions. The analysis of mixture model is carried out using a data set of lifetime of transmitter receivers. Interesting properties of estimators are observed and discussed.
