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Parameter Estimation for the Kumaraswamy Distribution Based on Hybrid Censoring

机译:基于混合删失的Kumaraswamy分布参数估计

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摘要

We consider estimation of unknown parameters of a two-parameter Kumaraswamy distribution with hybrid censored samples. We obtain maximum likelihood estimates using an expectation-maximization algorithm. Bayes estimates are derived under the squared error loss function using different approximation methods. In addition, an importance sampling technique is also discussed. Interval estimation is considered as well. We conduct a simulation study to compare the performance of different estimates, and based on this study, recommendations are made. A real data set and a simulated data set are analyzed for illustration purposes.
机译:我们考虑了带有混合删失样本的两参数Kumaraswamy分布的未知参数的估计。我们使用期望最大化算法获得最大似然估计。使用不同的近似方法,在平方误差损失函数下得出贝叶斯估计。另外,还讨论了重要性采样技术。间隔估计也被考虑。我们进行了一项模拟研究,以比较不同估算值的效果,并在此研究的基础上提出了建议。为了说明目的,分析了真实数据集和模拟数据集。

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