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A generalized likelihood ratio formula: Arbitrary noise statistics for doubly composite hypotheses (Corresp.)

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3 Author(s)

A relationship between the likelihood ratio and a generalized causal conditional mean estimator is presented for the doubly composite hypotheses problem. The observation statistics are arbitrary and need not be Gaussian. The relationship parallelsthe well-known relationship for the Gaussian noise and composite signal hypothesis case, and the likelihood ratio can still be viewed as an estimator-correlator operation.

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Information Theory, IEEE Transactions on  (Volume:23 ,  Issue: 5 )