Let X1,X2,…,Xn be a random sample from U(theta-0.5,theta+0.5) distribution, where thetainR. If X(1)=minX1,X2,…,Xn and X(n)=maxX1,X2,…,Xn, then which one of the following estimators is NOT a maximum likelihood estimator of theta?

Q27Section A (Section A)27 of 60

The estimator that is not an MLE

Let $X_{1},X_{2},…,X_{n}$ be a random sample from $U(\theta-0.5,\theta+0.5)$ distribution, where $\theta\in\mathbb{R}$ . If $X_{(1)}=\min\{X_{1},X_{2},…,X_{n}\}$ and $X_{(n)}=\max\{X_{1},X_{2},…,X_{n}\}$ , then which one of the following estimators is NOT a maximum likelihood estimator of $\theta$ ?

Pick an option to check your answer.

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