If X1, X2, X3, ..., Xn is a random sample from uniform distribution U(0,theta), then the unbiased estimators of theta are 1. bar X/2 2. 2bar X 3. n+1/nX(n) 4. n/n+1X(n). Which of the above results are correct?

Q37Section I (Objective (Q1–Q80))37 of 80

Statistical Inference — which combinations of statistics are unbiased for the U(0,theta) range

If $X_1, X_2, X_3, ..., X_n$ is a random sample from uniform distribution $U(0,\theta)$ , then the unbiased estimators of $\theta$ are 1. $\frac{\bar X}{2}$ 2. $2\bar X$ 3. $\frac{n+1}{n}X_{(n)}$ 4. $\frac{n}{n+1}X_{(n)}$ . Which of the above results are correct?

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