Article citationsMore >>

Deshpande, J.V. “A class of tests for exponentiality against increasing failure rate average alternatives”. Biometrika, 70, 514-518, 1983.

has been cited by the following article:

Article

Tests for Exponentiality: A Comparative Study

1Department of Mathematics and Statistics, Minnesota State University, Mankato, MN 56001, USA


American Journal of Applied Mathematics and Statistics. 2017, Vol. 5 No. 4, 125-135
DOI: 10.12691/ajams-5-4-3
Copyright © 2017 Science and Education Publishing

Cite this paper:
Mezbahur Rahman, Han Wu. Tests for Exponentiality: A Comparative Study. American Journal of Applied Mathematics and Statistics. 2017; 5(4):125-135. doi: 10.12691/ajams-5-4-3.

Correspondence to: Mezbahur  Rahman, Department of Mathematics and Statistics, Minnesota State University, Mankato, MN 56001, USA. Email: mezbahur.rahman@mnsu.edu

Abstract

The exponential distribution is considered in situtations where intervals between events are considered as well as where a skewed distribution is appropriate. The exponential distribution also plays key role in survival analysis. Goodness-of-fit for exponentiality is crucial as, in the natural sciences, some of the commonly used distributions such as gamma and Weibull distributions are just translated versions of the exponential distributions. Several well known exponentiality tests are reviewed. A power comparison is performed using simulation.

Keywords