ON LIMITING JOINT DISTRIBUTIONS OF ORDER STATISTICS WITH VARIABLE RANKS FROM STATIONARY SEQUENCES

LetX_nbe a stationary sequence andX₁^（n）≤…≤X_n^（n）the order statistics of X₁…X_n. In this paper. We obtained a natural dependence restriction under which the limiting distributions of X_kn（1）^（n）,X_{n-kn（2）+1}^（n）) are determined where k_n（r）, r=1, 2 are two variable rank sequences In particular, the results for some special rank sequences k_n（r）, r=1, 2 satisfying k_n（r）/n→λ（r）∈0, 1), r=1, 2 are also obtained.