Group Testing, the Pooled Hypergeometric Distribution, and Estimating the Number of Defectives in Small Populations

Autor:	Chris M. Theobald, Alexander M. Davie
Rok vydání:	2014
Předmět:	Statistics and Probability education.field_of_study Bayes estimator Pooled Sample Maximum likelihood Population Small population size Exact distribution Group testing Hypergeometric distribution Statistics Econometrics Quantitative Biology::Populations and Evolution education Mathematics
Zdroj:	Communications in Statistics - Theory and Methods. 43:3019-3026
ISSN:	1532-415X 0361-0926
DOI:	10.1080/03610926.2012.687066
Popis:	The testing of combined bacteriological samples – or “group testing” – was introduced to reduce the cost of identifying defective individuals in populations containing small proportions of defectives. It may also be applied to plants, animals, or food samples to estimate proportions infected, or to accept or reject populations. Given the proportion defective in the population, the number of positive combined samples is approximately binomial when the population is large: we find the exact distribution when groups include the same number of samples. We derive some properties of this distribution, and consider maximum-likelihood and Bayesian estimation of the number defective.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::dfdb8ca3ff12c2e3b62610ff671a8aa2 https://doi.org/10.1080/03610926.2012.687066 Zobrazit plný text záznamu