Minimum-area confidence sets for a normal distribution

DOI10.1016/j.jspi.2008.06.005zbMath1156.62021OpenAlexW2075402749MaRDI QIDQ1007484

Osvaldo Marrero, Douglas Norton, Jesse C. Frey

Publication date: 20 March 2009

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2008.06.005

zbMATH Keywords

confidence bandjoint confidence regioncumulative distribution function

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25)

Related Items (10)

Win-probabilities for regression models ⋮ Minimum volume confidence sets for parameters of normal distributions ⋮ Confidence regions for comparison of two normal samples ⋮ Recursive confidence band construction for an unknown distribution function ⋮ On the coverage probabilities of parametric confidence bands for continuous distribution and quantile functions constructed via confidence regions for a location-scale parameter ⋮ Minimum-volume confidence sets for normal linear regression models ⋮ Inferences on the difference between future observations for comparing two treatments ⋮ Identifying common normal distributions ⋮ On a smallest confidence region for a location-scale parameter in progressively type-II censored lifetime experiments ⋮ Simultaneous test for the mean and variance with an application to the statistical process control

Cites Work

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• Confidence Bands for Cumulative Distribution Functions of Continuous Random Variables
• Upper and Lower Bound Distributions that Give Simultaneous Confidence Intervals for Quantiles
• A comparison of some methods for estimating mixed normal distributions
• The Distribution Theory of Runs

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