Test for New Better than Used in Average Based on the Total Time on Test Transform.
Hendi, M., Al-Ruzaiza, A. (1997). Test for New Better than Used in Average Based on the Total Time on Test Transform.. EKB Journal Management System, 41(2), 110-122. doi: 10.21608/esju.1997.314645
M. I. I. Hendi; A. S. Al-Ruzaiza. "Test for New Better than Used in Average Based on the Total Time on Test Transform.". EKB Journal Management System, 41, 2, 1997, 110-122. doi: 10.21608/esju.1997.314645
Hendi, M., Al-Ruzaiza, A. (1997). 'Test for New Better than Used in Average Based on the Total Time on Test Transform.', EKB Journal Management System, 41(2), pp. 110-122. doi: 10.21608/esju.1997.314645
Hendi, M., Al-Ruzaiza, A. Test for New Better than Used in Average Based on the Total Time on Test Transform.. EKB Journal Management System, 1997; 41(2): 110-122. doi: 10.21608/esju.1997.314645

Test for New Better than Used in Average Based on the Total Time on Test Transform.

The Egyptian Statistical Journal
Article 3, Volume 41, Issue 2, December 1997, Page 110-122  XML PDF (9.22 MB)
Document Type: Original Article
DOI: 10.21608/esju.1997.314645
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Authors
M. I. I. Hendi* ; A. S. Al-Ruzaiza
Dep. of Statistics, College of Science, King Saud University, Riyadh,Saudi Arabia
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
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