The Annals of Statistics

Upper Confidence and Fiducial Limits to the Range of Several Means

B. Causey

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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


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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.