Joint Aspoptotic Distributions of Several Order Statistics with Random Sample Size and Random Central Ranks From Stationary

Abstract:

      Let {X_n} be a stationary sequence and X₁⁽ⁿ⁾，…，X_n⁽ⁿ⁾ the order statistics of X₁,…,X_n. In this paper, we obtain the limiting distributions of under strong miximg conditions, where M_n is the random size, and N_n(k ),k = 1 ,,…,s are random central ranks.