An extremal property of rectangular distributions

DOI10.1016/0167-7152(85)90035-5zbMath0566.60018OpenAlexW1993133916MaRDI QIDQ1059326

Gábor J. Székely, Tamás F. Móri

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0167-7152(85)90035-5

zbMATH Keywords

order statisticsJacobi polynomialsuniform distributioncorrelation coefficientmaximal correlationrectangular distribution

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Linear inference, regression (62J99) Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10)

Related Items (23)

Model-free sure screening via maximum correlation ⋮ Two characterizations based on order statistics and records ⋮ Automatic differentiation and maximal correlation of order statistics from discrete parents ⋮ Maximum variance of order statistics ⋮ On the correlation structure of exponential order statistics and some extensions ⋮ Characterizations of uniform and exponential distributions ⋮ On characterizations based on record values and order statistics ⋮ Correlations between functions of records can be negative ⋮ The maximal correlation for the generalized order statistics and dual generalized order statistics ⋮ A simple method for obtaining the maximal correlation coefficient and related characterizations ⋮ Maximal correlation in a non-diagonal case ⋮ A discrete analogue of Terrell's characterization of rectangular distributions ⋮ General bounds and inequalities in order statistics ⋮ Some counterexamples concerning maximal correlation and linear regression ⋮ On generalized order statistics and maximal correlation as a measure of dependence ⋮ Extreme variances of order statistics in dependent samples ⋮ Characterizations based on order statistics under sampling without replacement ⋮ A Note on the Upper Bound to Variance of the Sample Extreme from a Finite Population ⋮ On the rate of convergence to asymptotic independence between order statistics under power normalization with extension to the generalized order statistics ⋮ Mixed systems with minimal and maximal lifetime variances ⋮ On a limit relation between order statistics and records ⋮ On Terrell's characterization of uniform distribution ⋮ Upper and lower bounds for the correlation ratio of order statistics from a sample without replacement

Cites Work

• A characterization of rectangular distributions

This page was built for publication: An extremal property of rectangular distributions