熵损失函数下广义指数分布的可靠性估计

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在广义指数分布场合下,讨论了其参数、可靠性指标的估计及性质.基于熵损失函数,在共轭先验分布下,通过对分布函数进行变换,获得了该分布参数、可靠性指标的UMVUE、最小风险同变估计、Bayes估计和经验Bayes估计,并证明了形如[cT(x)+d]-1的一类估计的容许性.最后运用Monte-Carlo方法对各种估计的MSE进行了模拟比较.结果表明,经验贝叶斯估计精度较高.
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