Q5Section I (Objective (Q1–Q80))5 of 79

Statistical Inference — MLE for shifted exponential, boundary

Let $\{6,11,4,13,5\}$ be a random sample from the exponential distribution $f(x,\theta)=e^{-(x-\theta)}$ , $x\ge\theta$ , $\theta\in(-\infty,3]$ is unknown. Then the Maximum Likelihood Estimate of $e^\theta$ is:

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