Evaluations of expectations of order statistics and spacings based on IFR distributions

DOI10.1007/s00184-015-0570-8zbMath1375.60054OpenAlexW2299179652WikidataQ59472053 ScholiaQ59472053MaRDI QIDQ310038

Tomasz Rychlik, Agnieszka Goroncy

Publication date: 7 September 2016

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00184-015-0570-8

zbMATH Keywords

order statisticsspacingsoptimal boundreliability systemconvex transform orderincreasing failure rate

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Statistics of extreme values; tail inference (62G32) Reliability and life testing (62N05)

Related Items

Upper bounds for the expected maxima of independent random variables given known first four moments ⋮ Sharp bounds for the mean of the total time on test for distributions with increasing generalized failure rate ⋮ On the Bounds for the Expected Maxima of Random Samples with Known Expected Maxima of Two Samples of Smaller Size ⋮ Evaluations of quantiles of system lifetime distributions ⋮ Lower and upper bounds on the variances of spacings ⋮ Optimal upper bounds on expected kth record values from IGFR distributions ⋮ Bounds on the expectations of \(L\)-statistics based on iid life distributions

Cites Work

• Projection method for moment bounds on order statistics from restricted families. II: Independent case
• Sharp bounds for expectations of spacings from DDA and DFRA families.
• Projection method for moment bounds on order statistics from restricted families
• Optimal bounds on expectations of order statistics and spacings from nonparametric families of distributions generated by convex transform order
• Maximal Expectations of Extreme Order Statistics from Increasing Density and Failure Rate Populations
• Lower Bounds on PositiveL-Statistics
• Sharp upper mean-variance bounds for trimmed means from restricted families
• Optimal mean-variance bounds on order statistics from families determined by star ordering
• Sharp bounds for expectations of spacings from decreasing density and failure rate families
• Computations of Signatures of Coherent Systems with Five Components
• LIMITS OF THE RATIO OF MEAN RANGE TO STANDARD DEVIATION
• A Modification of Schwarz's Inequality with Applications to Distributions
• The Maxima of the Mean Largest Value and of the Range
• Universal Bounds for Mean Range and Extreme Observation
• Mean-variance bounds for order statistics from dependent DFR, IFR, DFRA and IFRA samples
• Projecting statistical functionals
• Unnamed Item
• Unnamed Item