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We prove a characterization of the power function distribution by lower record values. We prove that F (x) = x a α for all x, 0 < x < a, α > 0 and a > 0 if and only if X L(n) X L(m) and X L(m) are independent for 1 ≤ m < n.doi:10.14403/jcms.2013.26.2.269 fatcat:w42ikeo2lrbmfesotfv5ya6vee