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Linearity of regression for non-adjacent order statistics

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Abstract.

Let X 1,X 2,…,X n be a random sample from a continuous distribution with the corresponding order statistics X 1:n≤X 2:n≤…≤X n:n. All the distributions for which E(X k+r: n|X k:n)=a X k:n+b are identified, which solves the problem stated in Ferguson (1967).

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Authors and Affiliations

  1. Mathematical Institute, Warsaw University of Technology, Plac Politechniki 1, 00-661 Warsaw, Poland (e-mail: wesolo@alpha.im.pw.edu.pl), , , , , , PL

    Anna Dembin´ska & Jacek Wesołowski

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  1. Anna Dembin´ska
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  2. Jacek Wesołowski
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Received February 1998

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Dembin´ska, A., Wesołowski, J. Linearity of regression for non-adjacent order statistics. Metrika 48, 215–222 (1998). https://doi.org/10.1007/s001840050016

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  • DOI: https://doi.org/10.1007/s001840050016

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