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An optimal design for hierarchical generalized group testing
Yaakov Malinovsky, Gregory Haber, Paul S. Albert
Choosing an optimal strategy for hierarchical group testing is an important problem for practitioners who are interested in disease screening with limited resources. For example, w…
Efficient methods for the estimation of the multinomial parameter for the two-trait group testing model
Gregory Haber, Yaakov Malinovsky
Estimation of a single Bernoulli parameter using pooled sampling is among the oldest problems in the group testing literature. To carry out such estimation, an array of efficient e…
Conjectures on Optimal Nested Generalized Group Testing Algorithm
Yaakov Malinovsky
Consider a finite population of items, where item has a probability to be defective. The goal is to identify all items by means of group testing. This is the generali…
Follow Up on Detecting Deficiencies: An Optimal Group Testing Algorithm
Yaakov Malinovsky
In a recent volume of Mathematics Magazine (Vol. 90, No. 3, June 2017) there is an interesting article by Seth Zimmerman, titled Detecting Deficiencies: An Optimal Group Testing Al…