基于截尾样本不同损失函数下艾拉姆咖分布参数的Bayes估计

Bayesian Estimate of Эрланга Distribution Parameter Under Different Loss Function Based on Censored Samples

给出了艾拉姆咖分布参数在定数截尾样本下的极大似然估计;在Linex损失、二次损失、平方损失和平衡损失函数下,给出了参数的Bayes估计,并证明了所给估计都是容许的;通过实例,对所给的几个估计的优良性进行了分析。

Maximum likelihood estimation of the parameter is given under type-Ⅱ censoring samples on Эpлaнгa distribution; Then we discuss the Bayesian estimation of the parameter under Linex、quadratic、square and balanced loss functions,and prove that the estimates we have derived are admissible; At last,we analysis the accuracy of estimators by means of specific examples.