Estimating the number of classes
Abstract
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.
Cite
@article{arxiv.0708.2153,
title = {Estimating the number of classes},
author = {Chang Xuan Mao and Bruce G. Lindsay},
journal= {arXiv preprint arXiv:0708.2153},
year = {2007}
}
Comments
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)