艾拉姆咖分布均值比的Bayes估计及检验

Bayesian estimate and test of mean ratio of Эрланга distribution

给出艾拉姆咖分布在定数截尾场合下均值比k的极大似然估计;由"平均剩余寿命"的概念得到k的拟矩估计;取共轭先验分布给出k的经验Bayes估计、区间估计及假设检验;通过实例给出不同截尾样本下k的点估计和区间估计.

The maximum likelihood estimate of mean ratio k of ~aHra distribution was given for the case of constant tail-truncation. Simulated moment estimate of mean ratio k was obtained by using the concept of ＂average remaining life＂. Empirical Bayes estimate interval estimate and hypothetical test of mean ratio k were given after the conjugate prior distribution was taken. The point estimate and interval estimate of mean ratio k were given for different tail-truncated samples by means of practical example.