DOI: 10.5176/2251-1938_ORS13.45

Authors: Baha Alzalg

Abstract:

We formulate and solve the component search problem under two different hypotheses: the exclusive hypothesis in which there is one and only one abnormal component, and the independent hypothesis in which there can be any number of abnormal components, but the abnormality is independently associated with the com- ponents.

Under the exclusive hypothesis, we show that the optimal solution is given by a series of independent sequential probability ratio tests. Under the independent hypothesis, the threshold structure of the optimal decision rules is established.

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