Let X1, X2, X3, …, Xn be a random sample from f(x) = begincases e^-(x-theta); & x theta 0; & otherwise endcases. The unbiased estimator of theta is:

Q25Section I (Objective (Q1–Q80))25 of 80

Statistical Inference — unbiased estimator of location parameter

Let $X_1, X_2, X_3, …, X_n$ be a random sample from $f(x) = \begin{cases} e^{-(x-\theta)}; & x > \theta \ 0; & \text{otherwise} \end{cases}$ . The unbiased estimator of $\theta$ is:

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