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It is shown that the Cox modified likelihood-ratio statistic for testing partially non-nested hypotheses <italic>H</italic><sub>0</sub> and <italic>H</italic><sub>1</sub> is asymptotically equivalent to a bilinear form in nondegenerate asymptotically normal random vectors for sequences of data-generating processes converging to the intersection of <italic>H</italic><sub>0</sub>...
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