Estimating the Prediction Function and the Number of Unseen Species in Sampling with Replacement
有放回抽样中新增物种预测函数与未见物种数的估计
A sample of N units is taken from a population consisting of an unknown number of species. We are interested in estimating the number of species and the prediction function for future sampling. The prediction function is defined as the expected number of new species that will be found if an additional sample of size tN is taken for any positive real number t. In this paper we point out that an estimator suggested by Efron and Thisted lacks some essential properties of the…