The Efficiencies in Small Samples of the Maximum Likelihood and Best Unbiased Estimators of Reliability Functions
可靠性函数的最大似然与最佳无偏估计的小样本效率
The paper presents the results of an inquiry concerning the small sample relative efficiency of maximum likelihood and best unbiased estimators of reliability functions of one-unit systems. Three cases are considered: The Poisson, exponential, and normal (standard deviation known). Two kinds of relative efficiency functions are studied. The first kind consists of the common ratio of the Cramér-Rao lower bound of the variances of unbiased estimators, to the mean-square-error…