Estimating the number of classes
| dc.creator | Mao, Chang Xuan | |
| dc.creator | Lindsay, Bruce G. | |
| dc.date | 2007-08-16 | |
| dc.date.accessioned | 2026-07-07T08:24:38Z | |
| dc.date.available | 2026-07-07T08:24:38Z | |
| dc.description | Estimating the unknown number of classes in a population has numerous important applications. In a Poisson mixture model, the problem is reduced to estimating the odds that a class is undetected in a sample. The discontinuity of the odds prevents the existence of locally unbiased and informative estimators and restricts confidence intervals to be one-sided. Confidence intervals for the number of classes are also necessarily one-sided. A sequence of lower bounds to the odds is developed and used to define pseudo maximum likelihood estimators for the number of classes. | |
| dc.description | Published at http://dx.doi.org/10.1214/009053606000001280 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/0708.2153 | |
| dc.identifier | http://arxiv.org/abs/0708.2153 | |
| dc.identifier | Annals of Statistics 2007, Vol. 35, No. 2, 917-930 | |
| dc.identifier | doi:10.1214/009053606000001280 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136404 | |
| dc.subject | Statistics Theory | |
| dc.subject | 62G15, 62G15 (Primary); 62G05 (Secondary) | |
| dc.title | Estimating the number of classes | |
| dc.type | text |