讨论了Rayleigh分布环境因子的定义和估计问题。基于逐次截尾模型,在LINEX损失函数下,给出环境因子的经验Bayes估计。最后利用Monte—Carlo方法对经验Bayes估计和极大似然估计进行了分析比较。结果表明,经验Bayes估计优于极大似然估计。
Discuss the definition and estimation of environmental factor of Rayleigh distribution. Based on progressively type-II censored samples, the empirical Bayse estimation of environmental factor under LINEX loss function,are given. Then we compare the empirical Bayse estimation with the MLE by means of Monte-Carlo simulation. The results show that the accuracy of the empirical Bayes estimation is better than that of the MLE.