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Let X1, X2, . . . , Xn be i.i.d. random variables from the Poisson() distribution with > 0. (a) Assume n is large. Derive

Let X1, X2, . . . , Xn be i.i.d. random variables from the Poisson() distribution with > 0. (a) Assume n is large. Derive the score test for testing H0 : = 0 versus H1 : 6 = 0. Invert this test to get an approximate 95 percent confidence interval for .

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