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Consider a binary hypothesis-testing procedure where the two hypotheses H0 and H1 are described by different Poisson distributions, characterized by the parameters l0 and l1, respectively. The observation is simply a number of events k, depending on whether H0 or H1 is true

1829_Equation 2.jpg

where i = 0 for hypothesis H0 and i = 1 for hypothesis H1. Determine the log-likelihood ratio test for this problem.

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