On a couple of unresolved group testing conjectures

Ugnė Čižikovienė and Viktor Skorniakov

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 8, 2448-2460

Abstract: In the recent review published in 2019, Malinovsky and Albert conjectured analytical formulae of the optimal sample sizes for the modified Dorfman and Sterrett group testing schemes and verified the validity of the formulae numerically within a broad range. However, the authors pointed out that they were unable to give a rigorous proof of the stated conjectures. In this note, we affirm their hypotheses analitically thereby filling in the present gap.

Date: 2023
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DOI: 10.1080/03610926.2021.1953531

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