We discuss the convergence of the moments of intermediate order statistics under power normalization. The moments convergence is established for four p-max-stable laws according to conditions imposed on the considered distribution and on the rank sequence.
M. Barakat, Haroon and R. Omar, Azza
"On Convergence of Intermediate Order Statistics under Power Normalization,"
Journal of Statistics Applications & Probability: Vol. 4
, Article 7.
Available at: https://dc.naturalspublishing.com/jsap/vol4/iss3/7