Poisson Statistics, likelihood ratio statistics

timer Asked: May 8th, 2016

Question description

Let X_1, ..., X_n ~ Poisson (theta) with theta > 0. The maximum like-hood estimator for theta is thetahat_n = Xhat_n.

a) Determine the likelihood ratio statistic for testing:

H_0: theta = 1                  versus             H_1 : theta does not equal 1.

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