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Suppose x 1 , . . . , x 4 are iid samples from a distribution with density: f theta (x) = (1/2)e -abs(x-theta) If

Suppose x1, . . . , x4 are iid samples from a distribution with density:

ftheta(x) = (1/2)e-abs(x-theta)

If we have x1= 2.4, x2= 3.6, x3=-0.2, x4=0.8, what is the MLE of theta for these observations?

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