Suppose a random sample of size n is drawn from the pdf f Y (y; ) =

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Suppose a random sample of size n is drawn from the pdf

fY(y; θ) = e−(y−θ), θ ≤ y

(a) Show that ˆθ = Ymin is sufficient for the threshold parameter θ.

(b) Show that Ymax is not sufficient for θ.

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