A New Estimator for the Number of Species in a Population
| dc.creator | Cecconi, L. | |
| dc.creator | Gandolfi, A. | |
| dc.creator | Sastri, C. C. A. | |
| dc.date | 2008-04-07 | |
| dc.date.accessioned | 2026-07-07T09:30:50Z | |
| dc.date.available | 2026-07-07T09:30:50Z | |
| dc.description | We consider the classic problem of estimating T, the total number of species in a population, from repeated counts in a simple random sample. We look first at the Chao-Lee estimator: we initially show that such estimator can be obtained by reconciling two estimators of the unobserved probability, and then develop a sequence of improvements culminating in a Dirichlet prior Bayesian reinterpretation of the estimation problem. By means of this, we obtain simultaneous estimates of T, of the normalized interspecies variance $γ^2$ and of the parameter $λ$ of the prior. Several simulations show that our estimation method is more flexible than several known methods we used as comparison; the only limitation, apparently shared by all other methods, seems to be that it cannot deal with the rare cases in which $γ^2 >1$ | |
| dc.identifier | https://arxiv.org/abs/0804.1030 | |
| dc.identifier | http://arxiv.org/abs/0804.1030 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158248 | |
| dc.subject | Applications | |
| dc.subject | Probability | |
| dc.subject | Statistics Theory | |
| dc.subject | Quantitative Methods | |
| dc.title | A New Estimator for the Number of Species in a Population | |
| dc.type | text |