Estimating the number of unseen species: A bird in the hand is worth in the bush
arXiv preprint arXiv:1511.07428(2015)
摘要
Estimating the number of unseen species is an important problem in many scientific endeavors. Its most popular formulation, introduced by Fisher, uses samples to predict the number of hitherto unseen species that would be observed if new samples were collected. Of considerable interest is the largest ratio between the number of new and existing samples for which can be accurately predicted.In seminal works, Good and Toulmin constructed an intriguing estimator that predicts for all , thereby showing that the number of species can be estimated for a population twice as large as that observed. Subsequently Efron and Thisted obtained a modified estimator that empirically predicts even for some , but without provable guarantees.
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