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— The problem of sequential testing of multiple hypotheses is considered, and two candidate sequential test procedures are studied. Both tests are multihypothesis versions of the binary sequential probability ratio test (SPRT), and are referred to as MSPRT's. The first test is motivated by Bayesian optimality arguments, while the second corresponds to a… (More)

{ In a companion paper 13], we proved that two speciic constructions of mul-tihypothesis sequential tests, which we refer to as Multihypothesis Sequential Probability Ratio Tests (MSPRT's), are asymptotically optimal as the decision risks (or error probabilities) go to zero. The MSPRT's asymptotically minimize not only the expected sample size but also any… (More)

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