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Let { X   n , k  , 1 ≤  k  ≤  m n  ,  n  ≥ 1} be an array of independent random variables from the Pareto distribution. Let  X   n ( k )  be the  k th largest order statistic from the  n th row of the array and set  R   n , i n  , j n    =  X   n ( j n  ) / X   n ( i n  )  where  j n   &lt;  i n  . The aim of this paper is to study the complete convergence of the ratios { R   n , i n  , j n   ,  n  ≥ 1}.

Complete convergence for arrays of ratios of order statistics