Improved bounds for expectations of linear functions of order statistics

DOI10.1080/02331888308802402zbMath0808.62047OpenAlexW2038426865MaRDI QIDQ4324722

S. M. Bendre, Narayanaswamy Balakrishnan

Publication date: 28 February 1995

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888308802402

zbMATH Keywords

Cauchy-Schwarz inequalitylinear functionsimproved boundsextreme order statisticexpected values of order statistics

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30)

Related Items (1)

On the Bounds for the Expected Maxima of Random Samples with Known Expected Maxima of Two Samples of Smaller Size

Cites Work

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• Improving the Hartley-David-Gumbel bound for the mean of extreme order statistics
• p-norm bounds on the expectation of the maximum of a possibly dependent sample
• Extremal Properties of Extreme Value Distributions
• The Maxima of the Mean Largest Value and of the Range
• Universal Bounds for Mean Range and Extreme Observation
• Über Erwartungswerte und Varianzen von Ranggrößen in kleinen Stichproben

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