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A Note on Maximum Variance of Order Statistics from Symmetric Populations

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Abstract

The maximum variance of order statistics from a symmetrical parent population is obtained in terms of the population variance. The proof is based on a suitable representation for the variance of order statistics in terms of the parent distribution function.

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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. A Note on Maximum Variance of Order Statistics from Symmetric Populations. Annals of the Institute of Statistical Mathematics 49, 117–121 (1997). https://doi.org/10.1023/A:1003166723078

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  • DOI: https://doi.org/10.1023/A:1003166723078

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