Let X₁,X₂, . . .,X_n represent a random sample from each of the distributions having the following pdfs:

(a) f(x; θ) = θx^θ−1, 0 < x < 1, 0 < θ < ∞, zero elsewhere.

(b) f(x; θ) = e^−(x−θ), θ ≤ x < ∞, −∞ < θ < ∞, zero elsewhere.