SHARP BOUNDS FOR EXPECTATIONS OF kTH RECORD INCREMENTS

DOI10.1111/J.1467-842X.2004.00361.XzbMath1061.62075OpenAlexW2088000366MaRDI QIDQ4660890

Katarzyna Danielak, Mohammad Zayed Raqab

Publication date: 4 April 2005

Published in: Australian <html_ent glyph="@amp;" ascii="&amp;"/> New Zealand Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-842x.2004.00361.x

zbMATH Keywords

Hölder's inequalitysharp boundMoriguti's inequality\(k\)th record

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Statistics of extreme values; tail inference (62G32)

Related Items (20)

Unnamed Item ⋮ Sharp bounds on expectations of second record increments from decreasing density families ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Conditions for finiteness and bounds on moments of record values from iid continuous life distributions ⋮ Moment properties of lower record values from generalized inverse Weibull distribution and characterization ⋮ Upper and lower bounds on the variances of linear combinations of thekth records ⋮ Lower bounds on the expectations of upper record values ⋮ Prediction of \(k\)\,th records ⋮ Sharp bounds on expectations of \(k\)th record spacings from restricted families ⋮ Maximum variance of \(k\)th records ⋮ Projection Bounds on Expectations of Spacings of Generalized Order Statistics from DD and DDA Families ⋮ Inequalities for Expected Current Record Statistics ⋮ Comparison of Records and Maxima ⋮ Unnamed Item ⋮ On maximum variance ofkth records ⋮ Prediction of \(k\)-records from a general class of distributions under balanced type loss functions ⋮ Projection bounds on expectations of spacings of generalized order statistics from DFR and DFRA families ⋮ Optimal upper bounds on expected kth record values from IGFR distributions ⋮ Projection Mean–Variance Bounds on Expectations ofkth Record Values from Restricted Families

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