Probability in the Engineering and Informational Sciences

Research Article

An Improved Lower Bound on the Minimum Expected Number of Binomial Group Tests

Julia Abrahamsa1

a1 Mathematical Sciences Division, Office of Naval Research, Arlington, Virginia 22217-5660

Abstract

The minimum expected number of binomial group tests is lower bounded by the cost of a particular Huffman coding problem whose solution is known. Thus, the information lower bound in binomial group testing is improved when the probability that each item is defective is small.