3. Let X1,X2, . . . ,Xn be iid RVs with common Laplace PDF f(x) = (1/2)exp{|x|}....

3. Let X1,X2, . . . ,Xn be iid RVs with common Laplace PDF fθ(x) = (1/2)exp{−|x−θ|}.

For n ≥ 2 show that UMP size α (0< α <1) test of H0 : θ ≤ 0 against H1 : θ > 0 does not exist. Find the form of the LMP test.