Generalized One-Sided Laws for the Larger Observations of a Triangular Array

André Adler ()
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André Adler: Illinois Institute of Technology

Journal of Theoretical Probability, 2002, vol. 15, issue 4, 939-949

Abstract: Abstract Consider independent and identically distributed random variables {X,X nj , 1≤j≤n,n≥1} with density f(x)=px −p−1 I(x≥1), where p>0. We show that there exist unusual generalized Laws of the Iterated Logarithm involving the larger order statistics from our array.

Keywords: Almost sure convergence; weak law of large numbers; law of the iterated logarithm; slow variation (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1023/A:1020640704437

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