Best Bounds ofkth Records from Bounded Samples

DOI10.1080/03610920601077220zbMath1119.60014OpenAlexW2078954460MaRDI QIDQ3593565

Monika Klimczak

Publication date: 23 July 2007

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920601077220

zbMATH Keywords

\(k\)th recordMoriguti inequalitybounded variable\(k\)th record difference

Mathematics Subject Classification ID

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

Related Items (5)

Conditions for finiteness and bounds on moments of record values from iid continuous life distributions ⋮ Evaluations of generalized order statistics from bounded populations ⋮ Lower bounds on the expectations of upper record values ⋮ Unnamed Item ⋮ Optimal upper bounds on expected kth record values from IGFR distributions

Cites Work

• Bounds based on greatest convex minorants for moments of record values
• Sharp bounds on expectations of \(k\)th record spacings from restricted families
• 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
• ON THE EXPECTED VALUES OF RECORD VALUES¹
• Sharp bounds on the expectations of second record values from symmetric populations
• SHARP BOUNDS FOR THE MEAN OFkTH RECORD VALUE
• A Modification of Schwarz's Inequality with Applications to Distributions

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