✦ LIBER ✦
A moment inequality for decreasing (increasing) mean residual life distributions with hypothesis testing application
✍ Scribed by S.E. Abu-Youssef
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 87 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
✦ Synopsis
A moment inequality is derived for decreasing (increasing) mean residual life DMRL (IMRL) distributions. A new test statistic for testing exponentiality against DMRL (IMRL) is introduced based on this inequality. It is shown that the proposed test has high relative e ciency for some commonly used alternative and also enjoys a good power. Critical values are tabulated for sample sizes n = 5(1)50. A set of real data is used as an example to elucidate the use of the proposed test statistic for practical reliability analysis.