Inadmissibility of the Maximum Likelihood Estimator in the Sequential Estimation of the Size of a Population
研究了有限总体大小的序贯估计问题，证明最大似然估计不可容许，并提出了一个形式简单且渐近优于它的估计量。
For the sequential estimation of the size of a finite population, the maximum likelihood estimator is a commonly used estimator but has no explicit expression. In this paper, it is shown that the maximum likelihood estimator is inadmissible. An estimator which is simple in form and dominates the maximum likelihood estimator asymptotically is proposed.