Abstract
Sharp lower and upper bounds on expected values of generalized order statistics are proven by the use of Moriguti's inequality combined with the Young inequality. The bounds are expressed in terms of exponential moments or entropy. They are attainable providing new characterizations of some nontrivial distributions.
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Received October 2001/Revised May 2002
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Kaluszka, M., Okolewski, A. Sharp exponential and entropy bounds on expectations of generalized order statistics. Metrika 58, 159–171 (2003). https://doi.org/10.1007/s001840200234
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DOI: https://doi.org/10.1007/s001840200234