Simultaneous inference for several quantiles of a normal population with applications

DOI10.1002/bimj.201100232zbMath1441.62423OpenAlexW2151563354WikidataQ47940472 ScholiaQ47940472MaRDI QIDQ4921953

Ekkehard Glimm, Frank Bretz, Wei Liu, Anthony J. Hayter

Publication date: 28 May 2013

Published in: Biometrical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/bimj.201100232

zbMATH Keywords

normal distributionconfidence intervalquantilessimultaneous confidence intervalsconfidence level

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Nonparametric tolerance and confidence regions (62G15) Order statistics; empirical distribution functions (62G30)

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Cites Work

• Analytic properties of noncentral distributions
• Multiple Comparisons
• Comparison of Quantile Estimators in Normal Sampling
• Optimal Confidence Intervals for the Variance of a Normal Distribution
• Approximation Theorems of Mathematical Statistics
• Efficient Confidence Interval Methodologies for the Non Centrality Parameter of a Non CentraltDistribution
• QUANTILE ESTIMATION AND PROBABILITY COVERAGES
• Regression models for data with a non-zero probability of a zero response
• Upper and Lower Bound Distributions that Give Simultaneous Confidence Intervals for Quantiles
• Testing Statistical Hypotheses
• Rectangle Probabilities for Uniform Order statistics and the Probability That the Empirical Distribution Function Lies Between Two Distribution Functions
• Linear Statistical Inference and its Applications

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