Q57Section I (Objective (Q1–Q80))57 of 80

Distribution Theory — scaled minimum of exponential sample

Let $M$ be the minimum observation in a random sample of size $n$ from a distribution that has the pdf $f(x) = \begin{cases} e^{-(x-\theta)}, & \theta < x < \infty \ 0, & \text{otherwise} \end{cases}$ . What is the distribution of $2n(M-\theta)$ ?

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