The Annals of Statistics
- Ann. Statist.
- Volume 3, Number 2 (1975), 473-477.
Upper Confidence and Fiducial Limits to the Range of Several Means
Abstract
The problem of determining upper limits to the range of means of several independent normal variables with possibly different variances is considered. Simultaneous confidence regions based on others' work yield confidence limits which are rather conservative. We then approach the problem from a fiducial viewpoint and derive the equation which yields the exact fiducial upper limit.
Article information
Source
Ann. Statist., Volume 3, Number 2 (1975), 473-477.
Dates
First available in Project Euclid: 12 April 2007
Permanent link to this document
https://projecteuclid.org/euclid.aos/1176343074
Digital Object Identifier
doi:10.1214/aos/1176343074
Mathematical Reviews number (MathSciNet)
MR365850
Zentralblatt MATH identifier
0303.62033
JSTOR
links.jstor.org
Subjects
Primary: 62F25: Tolerance and confidence regions
Secondary: 62F99: None of the above, but in this section
Keywords
Upper fiducial limit upper confidence limit range of several means
Citation
Causey, B. Upper Confidence and Fiducial Limits to the Range of Several Means. Ann. Statist. 3 (1975), no. 2, 473--477. doi:10.1214/aos/1176343074. https://projecteuclid.org/euclid.aos/1176343074
Corrections
- See Correction: B. Causey. Note: Correction to "Upper Confidence and Fiducial Limits to the Range of Several Means". Ann. Statist., Vol. 3, Iss. 5 (1975), 1188.Project Euclid: euclid.aos/1176343251