Mean-variance bounds for order statistics from dependent DFR, IFR, DFRA and IFRA samples

DOI10.1016/S0378-3758(00)00138-5zbMath0973.62092OpenAlexW2011895163MaRDI QIDQ5929942

Tomasz Rychlik

Publication date: 4 December 2001

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(00)00138-5

zbMATH Keywords

convex and star orderingsdependent, identically distributed samplesDFR, IFR, DFRA and IFRA distributionsorder statisticspacings

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30) Reliability and life testing (62N05)

Related Items (15)

Bounds on expectations of \(L\)-statistics from without replacement samples ⋮ Evaluations of expectations of order statistics and spacings based on IFR distributions ⋮ Reliability and expectation bounds for coherent systems with exchangeable components ⋮ Reliability properties of systems with exchangeable components and exponential conditional distributions ⋮ Upper non positive bounds on expectations of generalized order statistics from DD and DDA populations ⋮ Sharp bounds for expectations of spacings from DDA and DFRA families. ⋮ Optimal bounds on expectations of order statistics and spacings from nonparametric families of distributions generated by convex transform order ⋮ Sharp bounds on expectations of \(k\)th record spacings from restricted families ⋮ A note on comparisons among coherent systems with dependent components using signatures ⋮ Properties of systems with two exchangeable Pareto components ⋮ Sharp upper mean-variance bounds for trimmed means from restricted families ⋮ Lower Bounds on Spacings Based on With-Replacement Model ⋮ Non-positive upper bounds on expectations of low rank order statistics from DFR populations ⋮ Bounds on the expectations of \(L\)-statistics based on iid life distributions ⋮ Projection Mean–Variance Bounds on Expectations ofkth Record Values from Restricted Families

Cites Work

• Stochastically extremal distributions of order statistics for dependent samples
• Bounds on distribution functions of order statistics for dependent variates
• Bounds on expectations of order statistics via extremal dependences
• Projection method for moment bounds on order statistics from restricted families. II: Independent case
• Projection method for moment bounds on order statistics from restricted families
• Some inequalities for starshaped and convex functions
• Sharp bounds on l-estimates and their expectations for dependent samples
• Bounds for expectation of l-estimates for dependent samples
• Inequalities for Linear Combinations of Order Statistics from Restricted Families
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