Exact laws of order statistics for φ-mixing arrays of Pareto random variables

For m≥1, let {Xnj,1≤j≤m,n≥1} be a φ-mixing array of Pareto random variables. Denote Xn(k) as the k-th order statistic from the n-th row and define the ratio order statistic Rnij=Xn(j)/Xn(i) for 1≤i