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Inferential Statisticshard
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Suppose we observe nnn independent counts Yi∼Poisson(λ)Y_i \sim \text{Poisson}(\lambda)Yi​∼Poisson(λ). If we are interested in testing H0:λ=λ0H_0: \lambda = \lambda_0H0​:λ=λ0​, what is the Score test statistic S(λ0)S(\lambda_0)S(λ0​)?