Let X1, X2, dots, Xn (nge 2) be a random sample from Exp(1/theta) distribution, where theta 0 is unknown. If barX=1/nsumi=1^n Xi, then which one of the following statements is NOT true?

(B) barX^2 is the uniformly minimum variance unbiased estimator of theta^2

Q9Section A (Section A)9 of 60

UMVUE for exponential distribution

Let $X_1, X_2, \dots, X_n$ ( $n\ge 2$ ) be a random sample from $\mathrm{Exp}\left(\frac{1}{\theta}\right)$ distribution, where $\theta > 0$ is unknown. If $\bar{X}=\frac{1}{n}\sum_{i=1}^n X_i$ , then which one of the following statements is NOT true?

Pick an option to check your answer.

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