Santos, RuiOliveira Martins, João PauloFelgueiras, Miguel2025-06-242025-06-242015-07R. 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: 10.1080/03610918.2013.7733450361-09181532-4141http://hdl.handle.net/10400.8/13397In 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.engCorrelationQuantitative group testsSample maximumSample meanSimulationjournal article10.1080/03610918.2013.773345