Generalized order statistics provide a unifying framework that extends beyond conventional order statistics by encompassing record values, sequential order statistics, and other related types of ...

Let X1, n ≤ ... ≤ Xn,n, be the order statistics of a sample of size n from a distribution function F. Desu (1971) showed that if for all n ≥ 2, nX1,n is identically distributed as X1,1, then F is the ...

Some general results concerning the asymptotic behavior of the value of the empirical distribution function at a random point (e.g. the sample mean) are given. These results are then used to obtain: ...