| Author(s) | M.I. Hendi, H. AI-Nachawatiand A.S. AI-Ruzaiza |
| Affiliation | Department o(Statistic.~. College ,,(Science. P.D.Box 2-155. King Saud Univer.~ity. Riyadh /1-/5/. Saudi Arabia |
| Title | A Test for Exponentiality against New Better than Used Average |
| Source | Journal of King Saud University. Science. Volume 11, No 2. (1999/1419) |
| Abstract | A U-statistic is derived for testing exponentiality against new better (worse) than uscd avcrage NBUA (NWUA). This class NBUA is an intermediate class between NBU and NBUE and is more appcaling in practice than either the NBU or NBUE classes. The asymptotic relative eftlciency with respect to the Ho\lander-Proschan statistics is studied. Selected critical values are tabulated for sample size n= 5( I) 50. Some sets of real data are used as examples to elucide the use of the proposed test statistic for practical reliability analysis. The problem when right censored data is available is also handled. Keywords: New better than used average (NBUA), U-test, Reliability, lire testing, exponential distribution, hypothesis testing. |
