Nonparametric Estimations about Species Not Observed in a Random Sample

被引:0
作者
Alberto Gandolfi
C. C. A. Sastri
机构
[1] Università di Firenze,Dipartimento di Matematica U. Dini
[2] Dalhousie University,Department of Mathematics and Statistics
关键词
Primary 62G05; Secondary 62P10; 92B15; Nonparametric Estimators; Bayesian Inference; Unobserved Probability; Number of Species; Abundance; Simple Random Sample;
D O I
10.1007/s00032-004-0031-8
中图分类号
学科分类号
摘要
A brief survey of work done on two long-standing and important problems in statistics is given. In a simple random sample (with replacement) of size n from a population divided into species, if N distinct species are observed, what is the probability that, on the next trial, a species not observed before is discovered? And what is the total number of species not observed? Interesting in many applied areas, these problems have been discussed in a great number of papers. We survey some of the related publications as well as a Bayes-like estimator recently devised by the authors, together with results on the estimation of the distribution of the probability of discovering a new species.
引用
收藏
页码:81 / 105
页数:24
相关论文
empty
未找到相关数据