Bounds of expectations of order statistics for distributions possessing monotone reversed failure rates

Agnieszka Goroncy () and Tomasz Rychlik ()
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Agnieszka Goroncy: Nicolaus Copernicus University
Tomasz Rychlik: Institute of Mathematics

Metrika: International Journal for Theoretical and Applied Statistics, 2025, vol. 88, issue 4, No 6, 575 pages

Abstract: Abstract In the literature, the sharp positive upper mean-variance bounds on the expectations of order statistics based on independent identically distributed random variables with the decreasing and increasing failure rates, have been recently presented. In this paper we determine analogous evaluations in the dual cases when the parent distributions have monotone reversed failure rates.

Keywords: Order statistics; Optimal bound; Convex transform order; Monotone reversed failure rate; 60E15; 62G32; 62N05 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s00184-024-00968-y

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