Maximum variance of order statistics from symmetric populations revisited

DOI10.1080/02331888.2011.648745zbMath1440.62160OpenAlexW2068791550MaRDI QIDQ5299488

Tomasz Rychlik, Krzysztof Jasiński

Publication date: 25 June 2013

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888.2011.648745

zbMATH Keywords

order statisticvarianceBernstein polynomialvariation diminishing propertysymmetric distributioni.i.d. sample

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30)

Related Items (8)

OPTIMAL MOMENT INEQUALITIES FOR ORDER STATISTICS FROM NONNEGATIVE RANDOM VARIABLES ⋮ Bounds on the expectations of \(L\)-statistics from iid symmetric populations in various scale units ⋮ Lower and upper bounds on the variances of spacings ⋮ A Note on the Upper Bound to Variance of the Sample Extreme from a Finite Population ⋮ Mixed systems with minimal and maximal lifetime variances ⋮ Inequalities for variances of order statistics originating from urn models ⋮ On maximum variance ofkth records ⋮ Maximal dispersion of order statistics in dependent samples

Cites Work

• Variances of sample medians
• A note on maximum variance of order statistics from symmetric populations
• Maximum variance of order statistics
• Bounds on Variances of Lifetimes of Coherent and Mixed Systems
• On the application and extension of system signatures in engineering reliability
• Extremal Properties of Extreme Value Distributions
• Projecting statistical functionals

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