Test for New Better than Used in Average Based on the Total Time on Test Transform. By: M. I. Hendi and A. S. Al-Ruzaiza | ||||
The Egyptian Statistical Journal | ||||
Article 3, Volume 41, Issue 2, December 1997, Page 110-122 | ||||
Document Type: Original Article | ||||
DOI: 10.21608/esju.1997.314645 | ||||
View on SCiNiTO | ||||
Abstract | ||||
Let be a life distribution with survival function and finite mean . The scaled total time on test transform is defined by . In this paper, the properties of for new better than used in average (NBUA) or new worse than used in average (NWUA) are investigated. Test statistics for testing exponentiality against NBUA (NWUA) are proposed. Selected critical values are tabulated for sample size . Powers of the tests are estimated by simulation. An example of patients of blood cancer disease demonstrate its practical application in medical Sciences. | ||||
Keywords | ||||
NBUA; NWUA; Total Time on Test; Exponential Distribution; Life Distributions; Survival Functions; Order Statistics; TTT-test | ||||
Statistics Article View: 22 |
||||