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Exact Bounds for the Expectations of Order Statistics from Non-Negative Populations

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Abstract

Some new exact bounds for the expected values of order statistics, under the assumption that the parent population is non-negative, are obtained in terms of the population mean. Similar bounds for the differences of any two order statistics are also given. It is shown that the existing bounds for the general case can be improved considerably under the above assumption.

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Authors and Affiliations

  1. Department of Mathematics, Section of Statistics and Operations Research, University of Athens, Panepistemiopolis, 157 84, Athens, Greece

    Nickos Papadatos

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  1. Nickos Papadatos
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Papadatos, N. Exact Bounds for the Expectations of Order Statistics from Non-Negative Populations. Annals of the Institute of Statistical Mathematics 49, 727–736 (1997). https://doi.org/10.1023/A:1003222527882

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  • DOI: https://doi.org/10.1023/A:1003222527882

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