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The problem of sequentially deciding upon one ofmmutually exclusive and exhaustive hypotheses has been studied in detail for the case ofm = 2. This correspondence presents the structure for the Bayesm-ary sequential detector. Computational results depend on a property called subspace separability, which allows one to reduce the dimensionality of the essential averaging process. Numerical results are presented for the case of Gaussian observation statistics andm = 3.
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Roberts et al. (1970) studied this question.
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