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Error exponents for hypothesis testing of the general source

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1 Author(s)

In this correspondence, we consider the simple hypothesis testing problems for general sources in the sense of Han and Verdu. Recently Han established a compact formula for the supremum of achievable exponents for the second-kind of error probability under the asymptotic constraint of the form mun ~ e-nr (n rarr infin) on the first-kind of error probability mun, where r is a given positive number. We investigate the same hypothesis testing problems studied by Han. The aim of the correspondence is to give a new expression for the supremum of achievable error exponents. Our formula is expressed in terms of the divergences and given in quite different forms from Han's expression

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Information Theory, IEEE Transactions on  (Volume:51 ,  Issue: 4 )