Title: Asymptotic Independence of Bivariate Order Statistics,
Abstract: It is well known that an extreme order statistic and a central order
statistic (os) as well as an intermediate os and a central os from a sample of
iid univariate random variables get asymptotically independent as the sample
size increases. We extend this result to bivariate random variables, where the
os are taken componentwise. An explicit representation of the conditional
distribution of bivariate os turns out to be a powerful tool.