Intermediate order statistics with applications to nonparametric estimation

DOI10.1016/0167-7152(94)00071-FzbMath0813.62046MaRDI QIDQ1347183

V. Pereyra

Publication date: 6 June 1995

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

zbMATH Keywords

tablesconfidence intervalsquantilesintermediate order statisticsabsolutely continuous distributiongeneralization of order statisticsunique median

Mathematics Subject Classification ID

Nonparametric tolerance and confidence regions (62G15) Order statistics; empirical distribution functions (62G30)

Related Items (10)

Maximum variance of order statistics ⋮ Families of distributions arising from distributions of order statistics ⋮ A record-values property of a renewal process with random inspection time ⋮ Trend-transformed independent vectors: construction and stochastic comparison results ⋮ Using linear interpolation to reduce the order of the coverage error of nonparametric prediction intervals based on right-censored data ⋮ Stochastic comparisons and multivariate dependence for the epoch times of trend renewal processes ⋮ Comparison among non parametric prediction intervals of order statistics ⋮ Identical Distributions of Single Variates and Random Convex Combinations of Uniform Fractional Order Statistics ⋮ Duals of multiplicative relationships involving beta and gamma random variables ⋮ Confidence and prediction intervals based on interpolated records

Cites Work

• Confidence intervals based on interpolated order statistics
• One-sided refinements of the strong law of large numbers and the Glivenko-Cantelli theorem
• Some Simple Distribution-Free Confidence Intervals for the Center of a Symmetric Distribution
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