## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 27, Number 2 (1956), 460-470.

### Accurate Sequential Tests on the Mean of an Exponential Distribution

#### Abstract

In this paper, methods introduced earlier by the author [1] are used to obtain simple, accurate formulas for the decision boundaries for sequential probability ratio tests for simple hypotheses and alternatives on the mean $\theta$ of the exponential distribution $\theta^{-1} \exp(-u/\theta)$. Examples are provided to indicate the accuracy and the degree of complexity of the results. It is hoped that the results given here will find applications in life testing and statistical studies of radioactive decay.

#### Article information

**Source**

Ann. Math. Statist., Volume 27, Number 2 (1956), 460-470.

**Dates**

First available in Project Euclid: 28 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177728269

**Digital Object Identifier**

doi:10.1214/aoms/1177728269

**Mathematical Reviews number (MathSciNet)**

MR81610

**Zentralblatt MATH identifier**

0070.37401

**JSTOR**

links.jstor.org

#### Citation

Albert, G. E. Accurate Sequential Tests on the Mean of an Exponential Distribution. Ann. Math. Statist. 27 (1956), no. 2, 460--470. doi:10.1214/aoms/1177728269. https://projecteuclid.org/euclid.aoms/1177728269