CONFIDENCE INTERVALS UTILIZING PRIOR INFORMATION IN THE BEHRENS-FISHER PROBLEM

DOI10.1111/j.1467-842X.2008.00519.xzbMath1337.62041MaRDI QIDQ2810361

Jarrod Tuck, Paul V. Kabaila

Publication date: 1 June 2016

Published in: Australian & New Zealand Journal of Statistics (Search for Journal in Brave)

zbMATH Keywords

decision theoryconfidence intervalprior informationBehrens-Fisher

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25)

Related Items (8)

Admissibility of the usual confidence interval for the normal mean ⋮ Admissibility of the usual confidence interval in linear regression ⋮ Inferences on linear combinations of normal means with unknown and unequal variances ⋮ Simultaneous Confidence Intervals for the Population Cell Means, for Two-by-Two Factorial Data, that Utilize Uncertain Prior Information ⋮ Confidence intervals in regression utilizing prior information ⋮ Further Properties of Frequentist Confidence Intervals in Regression that Utilize Uncertain Prior Information ⋮ Large-sample confidence intervals for the treatment difference in a two-period crossover trial, utilizing prior information ⋮ A new procedure for the Behrens-Fisher problem that guarantees confidence levels

Uses Software

• R

Cites Work

• Confidence intervals in regression utilizing prior information
• Parametric robustness: Small biases can be worthwhile
• Confidence intervals for the normal mean utilizing prior information
• On the Behrens-Fisher problem
• Assessment of a Preliminary F-Test Solution to the Behrens–Fisher Problem
• Numerical Specification of Discrete Least Favorable Prior Distributions
• Practical Solutions of the Behrens-Fisher Problem
• THE SIGNIFICANCE OF THE DIFFERENCE BETWEEN TWO MEANS WHEN THE POPULATION VARIANCES ARE UNEQUAL
• On Minimax Statistical Decision Procedures and their Admissibility
• The use of Previous Experience in Reaching Statistical Decisions
• FIDUCIAL ARGUMENT AND THE THEORY OF CONFIDENCE INTERVALS
• Controlling risks under different loss functions: The compromise decision problem
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