Some asymptotic stability properties of extreme order statistics under power normalization

H Barakat, E Nigm
unpublished
In this paper the continuation of the restricted convergence of the power normalized extreme order statistics, on the half-line of real numbers to the whole-line, is proved under general conditions. Moreover, the continuation property of the power normalized extremes, with random sample indices, is proved in an important practical case.
fatcat:72rr3lczrrdpdfcqrmnpewbv5m