Distribution and expectation bounds on order statistics from possibly dependent variates

DOI10.1016/S0167-7152(01)00014-1zbMath1052.62057MaRDI QIDQ5950011

Nickos Papadatos

Publication date: 2001

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

\(j\)-independent-\(F\)bounds on order statisticsdependent random variablesmaximal stability of order \(j\)minimal stability of order \(j\)

Mathematics Subject Classification ID

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

Related Items (10)

Sharp bounds for \(L\)-statistics from dependent samples of random length ⋮ OPTIMAL MOMENT INEQUALITIES FOR ORDER STATISTICS FROM NONNEGATIVE RANDOM VARIABLES ⋮ An extension of Kemperman's characterization on \(k\)-independence and its application ⋮ Reliability and expectation bounds for coherent systems with exchangeable components ⋮ Extremal properties of order statistic distributions for dependent samples with partially known multidimensional marginals ⋮ Bounds on expectations ofL-estimates for maximally and minimally stable samples ⋮ Linear estimation of location and scale parameters using partial maxima ⋮ Sequences of expected record values ⋮ Maximizing the expected range from dependent observations under mean–variance information ⋮ A note on comparisons among coherent systems with dependent components using signatures

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
• Distribution-Free Bounds on the Mean of the Maximum of a Dependent Sample
• Unnamed Item

This page was built for publication: Distribution and expectation bounds on order statistics from possibly dependent variates