Confidence Intervals for the Coverage of Low Coverage Samples

作者：Warren W. Esty · 发表于：The Annals of Statistics · 年份：1982 · DOI：10.1214/aos/1176345701 · 被引用次数：37 · 研究领域：Statistical Methods and Bayesian Inference、Statistical Methods and Inference、Statistical Distribution Estimation and Applications

The coverage of a random sample from a multinomial population is defined to be the sum of the probabilities of the observed classes. The problem is to estimate the coverage of a random sample given only the number of classes observed exactly once, twice, etc. This problem is related to the problem of estimating the number of classes in the population. Non-parametric confidence intervals are given when the coverage is low such that a Poisson approximation holds. These intervals are related to a coverage estimator of Good (1953).