Sharp bounds on expectations of \(k\)th record spacings from restricted families

DOI10.1016/J.SPL.2004.06.027zbMath1116.62347OpenAlexW2076698672MaRDI QIDQ1771450

Katarzyna Danielak, Mohammad Zayed Raqab

Publication date: 21 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.spl.2004.06.027

zbMATH Keywords

projectionbounddecreasing failure ratedecreasing density\(k\)th record

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Statistics of extreme values; tail inference (62G32) Reliability and life testing (62N05)

Related Items (12)

Sharp bounds on expectations of second record increments from decreasing density families ⋮ 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 ⋮ Maximum variance of \(k\)th records ⋮ Projection Bounds on Expectations of Spacings of Generalized Order Statistics from DD and DDA Families ⋮ Best Bounds ofkth Records from Bounded Samples ⋮ 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

Cites Work

• Unnamed Item
• Linear prediction of record values for the two parameter exponential distribution
• Projection method for moment bounds on order statistics from restricted families. II: Independent case
• Distribution-free bounds for expectations of increments of records
• Projection bounds on expectations of record statistics from restricted families
• Projection \(P\)-norm bounds on the moments of \(K\)th record increments
• Projection method for moment bounds on order statistics from restricted families
• Evaluating improvements of records
• Sharp upper mean-variance bounds for trimmed means from restricted families
• SHARP BOUNDS FOR EXPECTATIONS OF kTH RECORD INCREMENTS
• Sharp bounds for expectations of spacings from decreasing density and failure rate families
• Mean-variance bounds for order statistics from dependent DFR, IFR, DFRA and IFRA samples
• Projecting statistical functionals

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