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A consistent method of estimation for the three-parameter lognormal distribution based on Type-II right censored data

机译:基于II型右审查数据的三参数Lognormation分布的一致方法

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摘要

In this paper, we propose a parameter estimation method for the three-parameter lognormal distribution based on Type-II right censored data. In the proposed method, under mild conditions, the estimates always exist uniquely in the entire parameter space, and the estimators also have consistency over the entire parameter space. Through Monte Carlo simulations, we further show that the proposed method performs very well compared to a prominent method of estimation in terms of bias and root mean squared error (RMSE) in small-sample situations. Finally, two examples based on real data sets are presented for illustrating the proposed method.
机译:在本文中,我们提出了一种基于Type-II右审查数据的三参数Lognormal分布的参数估计方法。在所提出的方法中,在温和条件下,估计总是在整个参数空间中唯一存在,并且估计器在整个参数空间上也具有一致性。通过Monte Carlo模拟,我们进一步表明,与小型样本情况下的偏置和根均方误差(RMSE)的突出估计方法相比,该方法的表现得非常好。最后,呈现了基于实际数据集的两个示例,用于说明所提出的方法。

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