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Sharp bounds on moments of generalized order statistics

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Abstract.

Sharp lower and upper bounds on expected values of generalized order statistics are proven by the use of rearranged Moriguti's inequality. The method yields improvements of known quantile and moment bounds for expectations of order and record statistics based on independent identically distributed random variables. The bounds are attainable providing new characterizations of two-point distributions.

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Authors and Affiliations

  1. Institute of Mathematics, Technical University of Łódź, ul. Żwirki 36, 90-924 Łódź, Poland, , , , , , PL

    Lestaw Gajek & Andrzej Okolewski

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  1. Lestaw Gajek
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  2. Andrzej Okolewski
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Received: January 1999

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Gajek, L., Okolewski, A. Sharp bounds on moments of generalized order statistics. Metrika 52, 27–43 (2000). https://doi.org/10.1007/s001840000058

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  • DOI: https://doi.org/10.1007/s001840000058

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