When are intermediate processes of the same stochastic order? (Q1096283)

Let \(Z_ m^{(n)}\) represent the mth largest order statistic in a random sample of size n. Here we study the process \(Z^{(n)}_{[mt]}\), \(t>0\), where m(n) is an intermediate sequence such that \(m\to \infty\), m/n\(\to 0\) as \(n\to \infty\).