On the average difference between concomitants and order statistics

DOI10.1214/aop/1176988851zbMath0793.60019OpenAlexW2022352778MaRDI QIDQ1323285

Prem K. Goel

Publication date: 11 August 1994

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176988851

zbMATH Keywords

strong law of large numberscentral limit theorembivariate order statisticsconcomitantsinduced order statisticsfile- matchingfile-merging

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15)

Related Items (11)

Quasi-medians are robust and relatively efficient estimators of a common mean given multivariate normality ⋮ Bounds for expectations of concomitants ⋮ Size-biased permutation of a finite sequence with independent and identically distributed terms ⋮ On the exact joint distribution of a linear combination of order statistics and their concomitants in an exchangeable multivariate normal distribution ⋮ Nonparametric estimation of normal ranges given one-way ANOVA random effects assumptions. ⋮ On the use of the Borel-Cantelli lemma in Markov chains ⋮ Estimating relative rank correlation: theory and application ⋮ Bounds for Moments of the Maximum of Concomitants of Selected Order Statistics With Application ⋮ A distribution function estimator for the difference of order statistics from two independent samples ⋮ Distribution of concomitants of order statistics and their order statistics ⋮ Limit results for concomitants of order statistics

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