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.
Nonparametric Estimations about Species Not Observed in a Random Sample / Alberto Gandolfi; C. C. A. Sastri. - In: MILAN JOURNAL OF MATHEMATICS. - ISSN 1424-9286. - STAMPA. - 72:(2004), pp. 81-105. [10.1007/s00032-004-0031-8]
Nonparametric Estimations about Species Not Observed in a Random Sample
GANDOLFI, ALBERTO;
2004
Abstract
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.File | Dimensione | Formato | |
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