A CHARACTERIZATION OF THE POWER FUNCTION DISTRIBUTION BY INDEPENDENT PROPERTY OF LOWER RECORD VALUES

Eun-Hyuk Lim, Min-Young Lee
2013 Journal of the Chungcheng Mathematical Society  
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