On the continuation of the limit distribution of central order statistics under power normalization
Volume 43 / 2016
Applicationes Mathematicae 43 (2016), 145-155
MSC: 60G70, 62E20, 62G30.
DOI: 10.4064/am2247-2-2016
Published online: 10 June 2016
Abstract
An important stability property of central order statistics under power normalization is discussed. It is proved that the restricted convergence of power normalized central order statistics on an arbitrary nondegenerate interval implies their weak convergence.
