Bounds based on greatest convex minorants for moments of record values
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Publication:1375863
DOI10.1016/S0167-7152(97)00046-1zbMath0897.60054OpenAlexW2024920236MaRDI QIDQ1375863
Publication date: 21 January 1998
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0167-7152(97)00046-1
Related Items (29)
Sharp Bounds on the Error in Approximating the Means of Record Statistics by Inverse Hazard Functions ⋮ Projection \(P\)-norm bounds on the moments of \(K\)th record increments ⋮ Unimodality of uniform generalized order statistics, with applications to mean bounds ⋮ Sharp upper bounds for the mean residual waiting time of records ⋮ On the moments of record values ⋮ SHARP BOUNDS FOR THE MEAN OFkTH RECORD VALUE ⋮ Sharp bounds on expectations of second record increments from decreasing density families ⋮ Conditions for finiteness and bounds on moments of record values from iid continuous life distributions ⋮ P-norm bounds for moments of progressive type II censored order statistics. ⋮ Sharp Bounds for Generalized Order Statistics via Logarithmic Moments ⋮ Upper and lower bounds on the variances of linear combinations of thekth records ⋮ Projection bounds on expectations of generalized order statistics from DD and DDA families ⋮ Lower bounds on the expectations of upper record values ⋮ Maximum variance of \(k\)th records ⋮ Evaluations of the mean residual lifetime of an \(m\)-out-of-\(n\) system ⋮ Inequalities for Expected Current Record Statistics ⋮ Comparison of Records and Maxima ⋮ Best Bounds ofkth Records from Bounded Samples ⋮ Evaluating expectations of \(L\)-statistics by the Steffensen inequality ⋮ Distribution-free bounds for expectations of increments of records ⋮ Improved Steffensen type bounds on expectations of record statistics ⋮ Unnamed Item ⋮ On maximum variance ofkth records ⋮ Optimal upper bounds on expected kth record values from IGFR distributions ⋮ Sharp bounds on the expectations of second record values from symmetric populations ⋮ Projection bounds on expectations of generalized order statistics from DFR and DFRA families ⋮ Optimal evaluations for the bias of trimmed means of \(k\)th record values ⋮ Projection Mean–Variance Bounds on Expectations ofkth Record Values from Restricted Families ⋮ Projection bounds on expectations of record statistics from restricted families
Cites Work
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- Independent Poisson processes generated by record values and inter-record times
- A simple application of binomial -- negative binomial relationship in the derivation of sharp bounds for moments of order statistics based on greatest convex minorants
- Records
- Characterizations of exponential distributions by independent non-stationary record increments
- Breaking Records and Breaking Boards
- ON THE EXPECTED VALUES OF RECORD VALUES1
- A Modification of Schwarz's Inequality with Applications to Distributions
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