Estimating the number of classes in a finite population

• 成果类型: Article
• 署名作者: Haas, PJ; Stokes, L
• 署名单位: International Business Machines (IBM); IBM USA; University of Texas System; University of Texas Austin
• 刊物名称: JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
• ISSN/ISSBN: 0162-1459
• DOI: 10.2307/2670061
• 发表日期: 1998
• 页码: 1475-1487
• 关键词: capture probabilities vary; species richness; size; jackknife; animals

摘要

We use an extension of the generalized jackknife approach of Gray and Schucany to obtain new nonparametric estimators for the number of classes in a finite population of known size. We also show that generalized jackknife estimators are closely related to certain Horvitz-Thompson estimators, to an estimator of Shlosser, and to estimators based on sample coverage. In particular, the generalized jackknife approach leads to a modification of Shlosser's estimator that does not suffer from the erratic behavior of the original estimator. The performance of both new and previous estimators is investigated by means of an asymptotic variance analysis and a Monte Carlo simulation study.