Bounds for order statistics based on dependent variables with given nonidentical distributions

DOI10.1016/0167-7152(94)00135-UzbMath0830.62050OpenAlexW2073317542MaRDI QIDQ1897108

Tomasz Rychlik

Publication date: 17 September 1995

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

Full work available at URL: https://doi.org/10.1016/0167-7152(94)00135-u

zbMATH Keywords

order statisticsboundsmarginal distributionsfixed marginalsdependent nonidentically distributed random variablesfixed one-dimensional distributionsstochastically extreme random variables

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10)

Related Items (8)

Reliability and expectation bounds for coherent systems with exchangeable components ⋮ Extremal properties of order statistic distributions for dependent samples with partially known multidimensional marginals ⋮ Expectation bounds on linear estimators from dependent samples ⋮ Maximizing the expected range from dependent observations under mean–variance information ⋮ A note on comparisons among coherent systems with dependent components using signatures ⋮ An extension of the Erdős-Neveu-Rényi theorem with aplications to order statistics ⋮ Distorted mix method for constructing copulas with tail dependence ⋮ Distributions and moments of record values in a sequence of maximally dependent random variables

Cites Work

• Unnamed Item
• Inequalities for distributions with given marginals
• Stochastically extremal distributions of order statistics for dependent samples
• Bounds on distribution functions of order statistics for dependent variates
• Maximally dependent random variables
• A class of dependent random variables and their maxima

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