## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 25, Number 1 (1954), 157-161.

### Admissible Tests for the Mean of a Rectangular Distribution

#### Abstract

Explicit characterizations are given of the minimal complete class and a minimal essentially complete class of tests of a simple hypothesis specifying the mean of a uniform distribution of known range. Examples are given of tests which are optimal against various alternatives.

#### Article information

**Source**

Ann. Math. Statist., Volume 25, Number 1 (1954), 157-161.

**Dates**

First available in Project Euclid: 28 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177728856

**Digital Object Identifier**

doi:10.1214/aoms/1177728856

**Mathematical Reviews number (MathSciNet)**

MR60192

**Zentralblatt MATH identifier**

0055.13001

**JSTOR**

links.jstor.org

#### Citation

Birnbaum, Allan. Admissible Tests for the Mean of a Rectangular Distribution. Ann. Math. Statist. 25 (1954), no. 1, 157--161. doi:10.1214/aoms/1177728856. https://projecteuclid.org/euclid.aoms/1177728856