International Journal of Reliability and Applications
- Volume 8 Issue 2
- /
- Pages.125-135
- /
- 2007
- /
- 1598-0073(pISSN)
- /
- 2283-8914(eISSN)
Testing NBUCA Class of Life Distribution Using U-Test
- Al-Nachawati, H. (Department of Statistics and Operations Research King Saud University)
- Published : 2007.12.01
Abstract
In this paper, testing exponentiality against new better than used in convex average and denote by (NBUCA), or its dual (NWUCA) is investigated through the U-test. The percentiles of these tests are tabulated for samples sizes n = 5(1)40. The power estimates of the test are simulated for some commonly used distributions in reliability. Pitman's asymptotic efficiency of the test is calculated and compared. Data of 40 patients suffering from blood cancer disease (Leukemia) is considered as a practical application of the proposed test in the medical sciences.
Keywords
- Life distributions;
- positive ageing;
- U-statistic;
- asymptotic normality;
- power estimates;
- asymptotic relative efficiency;
- testing exponentiality