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Some remarks on Arslan’s 2011 paper
Authors:GG Hamedani  Hans W Volkmer
Institution:1. Department of Mathematics, Statistics and Computer Science, Marquette University, Milwaukee, WI 53201-1881, United States;2. Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, WI 53201, United States
Abstract:It is shown that the main theorem of Arslan’s paper (Theorem 2, 2011), as stated, is incorrect. Under additional conditions, we present a short proof of the corrected version of the theorem. We also give a proof of a theorem of Rao and Shanbhag (1991) 2], employed by Arslan, without the use of the Kolmogorov Consistency Theorem.
Keywords:Characterization  Order statistics  Uniform distribution
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