Confidence intervals for quantiles in terms of record range

DOI10.1016/j.spl.2004.04.013zbMath1086.62064OpenAlexW2037916348MaRDI QIDQ1881239

Jafar Ahmadi, Narayanaswamy Balakrishnan

Publication date: 4 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.spl.2004.04.013

zbMATH Keywords

order statisticsrecord coveragetolerance intervalsquantile intervalsconfidence coefficients

Mathematics Subject Classification ID

Nonparametric tolerance and confidence regions (62G15) Order statistics; empirical distribution functions (62G30) Statistics of extreme values; tail inference (62G32)

Related Items (27)

Some statistical inferences on the upper record of Lomax distribution ⋮ Distribution-free prediction intervals for the future current record statistics ⋮ Bayesian estimation and prediction for some life distributions based on record values ⋮ Comparison of record data and random observations based on statistical evidence ⋮ Prediction intervals for ordinary and dual generalized order statistics from two independent sequences ⋮ Confidence intervals for quantiles based on samples of random sizes ⋮ Entropy properties of record statistics ⋮ Current records and record range with some applications ⋮ Pitman closeness of current records for location-scale families ⋮ Distribution-free prediction intervals for order statistics based on record coverage ⋮ Nonparametric confidence intervals for quantile intervals and quantile differences based on record statistics ⋮ Prediction intervals for future records ⋮ Nonparametric confidence intervals for quantiles and quantile intervals from inversely sampled record breaking data in a multi-sample plan ⋮ On the distribution-free confidence intervals and universal bounds for quantiles based on joint records ⋮ On Pitman's measure of closeness ofk-records ⋮ Exact nonparametric conditional inference based on \(k\)-records, given inter-\(k\)-record times ⋮ Distribution-free confidence intervals for quantile intervals based on current records ⋮ Statistical inference based on record data from Pareto model ⋮ Inequalities for Expected Current Record Statistics ⋮ Pitman closeness of record values to population quantiles ⋮ Some characterization and ordering results based on entropies of current records ⋮ Shannon Information Properties of the Endpoints of Record Coverage ⋮ Nonparametric meta-analysis of independent samples of records ⋮ Current \(k\)-records and their use in distribution-free confidence intervals ⋮ Nonparametric Confidence Intervals and Tolerance Limits Based on Minima and Maxima ⋮ Distribution-free confidence intervals for quantiles and tolerance intervals in terms ofk-records ⋮ Best prediction regions for future exponential record intervals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On statistical inference based on record values
• Parametric and nonparametric inference from record-breaking data
• Nonparametric confidence and tolerance intervals from record values data
• On estimating population characteristics from record-breaking observations. i. parametric results
• On estimating population characteristics from record-breaking observations II. Nonparametric results
• Parametric likelihood inference for record breaking problems
• Comparing the fisher information in record values and iid observations
• Nonparametric function estimation from inversely sampled record‐breaking data
• On the Fisher information in record values

This page was built for publication: Confidence intervals for quantiles in terms of record range