## 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