Improved Steffensen type bounds on expectations of record statistics

DOI10.1016/S0167-7152(01)00128-6zbMath0988.62028OpenAlexW2062797232MaRDI QIDQ5956490

Lestaw Gajek, Andrzej Okolewski

Publication date: 27 June 2002

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-7152(01)00128-6

zbMATH Keywords

incomplete gamma-functionrecord statisticsSteffensen inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Statistics of extreme values; tail inference (62G32)

Related Items (3)

Evaluating expectations of \(L\)-statistics by the Steffensen inequality ⋮ Generalizations of the Steffensen integral inequality for pseudo-integrals ⋮ On Steffensen inequality in $p$-calculus

Cites Work

• Bounds based on greatest convex minorants for moments of record values
• Relations, bounds and approximations for order statistics
• Sharp bounds on moments of generalized order statistics.
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