数据类型II下比较估计参数瑞利分布的三先验和双先验选择

A. M. Salman, N. A. Hussein, A. H. Hussain, S. A. Abbas
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引用次数: 0

摘要

本文采用贝叶斯单先验和双先验方法,并采用指数分布、伽玛分布和卡方分布的三先验方法,给出了二类数据控制下瑞利分布尺度参数的估计。利用瑞利分布生成的观测值,对这些方法进行了实验研究,并在实践中验证了所提出方法的有效性。我们使用均方误差(MSE)对这些方法进行比较。我们通过模拟不同的参数$(\theta)$和不同的样本量$(\ mathm {N}=10,25,50,100)$来进行这项研究。计算结果表明,最好的估计方法是贝叶斯方法(BAY3)。
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Three Prior and Double Prior Selection to Comparison Estimate Parameter Rayleigh Distribution under Data Type II Censoring
In this study, we present estimation scale parameter of Rayleigh distribution under data the control of type II by using methods Proposed Bayesian as only prior and Double priors with a new suggestion used three Prior by using distributions Exponential and Gamma and Chi-Square. An experimental study was conducted to compare these methods and to demonstrate the efficiency of the methods proposed in practice by relying on the generated observations from Rayleigh distribution. We compare these methods by using Mean square error (MSE). We did this study by using simulation with different values parameter $(\theta)$ and different sample sizes $(\mathrm{N}=10,25,50,100)$. It has been shown through computational results that the best way to estimate is the Bayes method proposed (BAY3).
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