Known Mean, Unknown Maxima? Testing the Maximum Knowing Only the Mean

Santos, Rui; Oliveira Martins, João Paulo; Felgueiras, Miguel

http://hdl.handle.net/10400.8/13397

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Authors

Santos, Rui

Oliveira Martins, João Paulo

Felgueiras, Miguel

Abstract(s)

In the quantitative group testing problem, the use of the group mean to identify if the group maximum is greater than a prefixed threshold (infected group) is analyzed, using n independent and identically distributed individuals. Under these conditions, it is shown that the information of the mean is sufficient to classify each group as infected or healthy with low probability of misclassification when the underline distribution is a unilateral heavy-tailed distribution.

Keywords

Correlation Quantitative group tests Sample maximum Sample mean Simulation

URI

http://hdl.handle.net/10400.8/13397

Citation

R. Santos, J. P. Martins & M. Felgueiras (2015) Known Mean, Unknown Maxima? Testing the Maximum Knowing Only the Mean, Communications in Statistics - Simulation and Computation, 44:10, 2473-2491, DOI: 10.1080/03610918.2013.773345