The coverage of a random sample from a multinomial population is defined to be the sum of the probabilities of the observed classes. The problem is to estimate the coverage of a random sample given only the number of classes observed exactly once, twice, etc. This problem is related to the problem of estimating the number of classes in the population. Non-parametric confidence intervals are given when the coverage is low such that a Poisson approximation holds. These intervals are related to a coverage estimator of Good (1953).
Publié le : 1982-03-14
Classification:
Coverage,
occupancy problem,
unobserved species,
total probability,
62G15
@article{1176345701,
author = {Esty, Warren W.},
title = {Confidence Intervals for the Coverage of Low Coverage Samples},
journal = {Ann. Statist.},
volume = {10},
number = {1},
year = {1982},
pages = { 190-196},
language = {en},
url = {http://dml.mathdoc.fr/item/1176345701}
}
Esty, Warren W. Confidence Intervals for the Coverage of Low Coverage Samples. Ann. Statist., Tome 10 (1982) no. 1, pp. 190-196. http://gdmltest.u-ga.fr/item/1176345701/