Reliability criteria in information theory and in statistical hypothesis testing
Foundations and Trends in Communications and Information Theory
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It is shown that the asymptotic probability of error of a binary equiprobable hypothesis test for observed Poisson point processes with rateslambda_{i}(t)=b_{i}(t)+(rho_{i}(t)+z)^{2}, i=0,1, z rightarrow infty, is equal to the error probability of optimum deterministic-signal detection in additive white Gaussian noise when the signals coincide with the square roots of the point-process rates. The implication of this result in the error rate analysis of optical digital communication systems is discussed.