Let X1 X2 Xn be iid Ntheta 2 ie the pdf of Xi is fxi theta

Let X_1, X_2, ..., X_n be iid N(theta, 2), i.e. the pdf of X_i is f(x_i; theta) = 1 / square root 2 pi 2 e^- (x_i - theta)^2 / 8 Find the mle of theta and show that it is an unbiased estimator of theta. Let X_1, X_2,... X_n be iid Uniform (0, theta), i.e. the pdf of X_i is f(x_i; theta)=1/theta 0

Solution

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