Estimating the Number of Classes via Sample Coverage Export

@article{citeulike:5441465, abstract = {Assume that a random sample is drawn from a population with unknown number of classes and possibly unequal class probabilities. A nonparametric estimation technique is proposed to estimate the number of classes using the idea of sample coverage, which is defined as the sum of the cell probabilities of the observed classes. Since expected sample coverage can be well estimated, we were motivated to find its role in the estimation of the number of classes. This work generalizes the result of Esty to a nonparametric approach and extends Darroch and Ratcliff to incorporate the heterogeneity of the class probabilities. The coefficient of variation of the class sizes is shown to play an important role in the recommended estimation procedures. The performance of the proposed estimators is investigated by means of Monte Carlo simulations.}, author = {Chao, Anne and Lee, Shen M.}, citeulike-article-id = {5441465}, citeulike-linkout-0 = {http://dx.doi.org/10.2307/2290471}, citeulike-linkout-1 = {http://www.jstor.org/stable/2290471}, doi = {10.2307/2290471}, issn = {01621459}, journal = {Journal of the American Statistical Association}, keywords = {core-pan}, number = {417}, pages = {210--217}, posted-at = {2009-08-14 23:36:47}, priority = {2}, publisher = {American Statistical Association}, title = {Estimating the Number of Classes via Sample Coverage}, url = {http://dx.doi.org/10.2307/2290471}, volume = {87}, year = {1992} }

TY - JOUR ID - citeulike:5441465 L3 - citeulike-article-id:5441465 N2 - Assume that a random sample is drawn from a population with unknown number of classes and possibly unequal class probabilities. A nonparametric estimation technique is proposed to estimate the number of classes using the idea of sample coverage, which is defined as the sum of the cell probabilities of the observed classes. Since expected sample coverage can be well estimated, we were motivated to find its role in the estimation of the number of classes. This work generalizes the result of Esty to a nonparametric approach and extends Darroch and Ratcliff to incorporate the heterogeneity of the class probabilities. The coefficient of variation of the class sizes is shown to play an important role in the recommended estimation procedures. The performance of the proposed estimators is investigated by means of Monte Carlo simulations. IS - 417 JF - Journal of the American Statistical Association SN - 01621459 EP - 217 TI - Estimating the Number of Classes via Sample Coverage PB - American Statistical Association VL - 87 SP - 210 KW - core-pan AU - Chao, Anne AU - Lee, Shen PY - 1992/// UR - http://dx.doi.org/10.2307/2290471 ER -