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COCOA
2010
Springer

Bounds for Nonadaptive Group Tests to Estimate the Amount of Defectives

11 years 9 months ago
Bounds for Nonadaptive Group Tests to Estimate the Amount of Defectives
The classical and well-studied group testing problem is to find d defectives in a set of n elements by group tests, which tell us for any chosen subset whether it contains defectives or not. Strategies are preferred that use both a small number of tests close to the informationtheoretic lower bound d log n, and a small constant number of stages, where tests in every stage are done in parallel, in order to save time. They should even work if d is completely unknown in advance. An essential ingredient of such competitive and minimal-adaptive group testing strategies is an estimate of d within a constant factor. More precisely, d shall be underestimated only with some given error probability, and overestimated only by a constant factor, called the competitive ratio. The latter problem is also interesting in its own right. It can be solved with O(log n) randomized group tests of a certain type. In this paper we prove that (log n) tests are really needed. The proof is based on an analysis o...
Peter Damaschke, Azam Sheikh Muhammad
Added 10 Feb 2011
Updated 10 Feb 2011
Type Journal
Year 2010
Where COCOA
Authors Peter Damaschke, Azam Sheikh Muhammad
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