Question: Let X1,..., Xn be a random sample from the pdf f(x|) = e-(x-) where - < < x < . a. Show that

Let X1,..., Xn be a random sample from the pdf f(x|μ) = e-(x-μ) where - ∞ < μ < x < ∞.
a. Show that X(1) = mini Xi is a complete sufficient statistic.
b. Use Basu's Theorem to show that X(1) and S2 are independent.

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