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Given samples from a distribution, how many new elements should we expect to find if we continue sampling this distribution? This is an important and actively studied problem, with many applications ranging from unseen species estimation to genomics.
The relation between the number of species and the number of individuals in a random sample of an animal population
Fisher, Ronald A, Corbet, A Steven, and Williams, Carrington B · 1943
Earlier work this paper cites.
The population frequencies of species and the estimation of population parameters
Good, Irving J · 1953
Earlier work this paper cites.
The number of new species, and the increase in population coverage, when a sample is increased
Good, IJ and Toulmin, GH · 1956
Earlier work this paper cites.
Estimating the number of unsen species: How many words did shakespeare know?
Efron, Bradley and Thisted, Ronald · 1976
Earlier work this paper cites.
Estimating the unseen: an n/log (n)-sample estimator for entropy and support size, shown optimal via new clts
Valiant, Gregory and Valiant, Paul · 2011
Cited alongside, same era.
Estimating the unseen: improved estimators for entropy and other properties
Valiant, Paul and Valiant, Gregory · 2013
Cited alongside, same era.
A unified maximum likelihood approach for optimal distribution property estimation
Acharya, Jayadev, Das, Hirakendu, Orlitsky, Alon, and Suresh, Ananda Theertha · 2016
Cited alongside, same era.
Analysis of protein-coding genetic variation in 60,706 humans
Lek, Monkol, Karczewski, Konrad J, Minikel, Eric V, Samocha, Kaitlin E, Banks, Eric, Fennell, Timothy, O’Donnell-Luria, Anne H, Ware, James S, Hill, Andrew J, Cummings, Beryl B, et al · 2016
Cited alongside, same era.
Optimal prediction of the number of unseen species
Orlitsky, Alon, Suresh, Ananda Theertha, and Wu, Yihong · 2016
Later among the works it cites.
Instance optimal learning of discrete distributions
Valiant, Gregory and Valiant, Paul · 2016
Later among the works it cites.
Zou, James, Valiant, Gregory, Valiant, Paul, Karczewski, Konrad, Chan, Siu On, Samocha, Kaitlin, Lek, Monkol, Sunyaev, Shamil, Daly, Mark, and MacArthur, Daniel G · 2016
Later among the works it cites.
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