Abstract
Let X 1 , n ⩽ X 2 , n ⩽ ⋯ ⩽ X n , n be the order statistics obtained from a sample from a continuous distribution and Z i , j , n = X j , n / X i , n be the ratio of order statistics. In this paper, asymptotic properties of Z i , j , n are discussed. Specifically, we make use of the theory of regular variation to derive weak and strong limit results for Z i , j , n .
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