(1997). 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. test, 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. By: M. I. Hendi and A. S. Al-Ruzaiza". test, 41, 2, 1997, 110-122. doi: 10.21608/esju.1997.314645
(1997). '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', test, 41(2), pp. 110-122. doi: 10.21608/esju.1997.314645
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. test, 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. By: M. I. Hendi and A. S. Al-Ruzaiza

The Egyptian Statistical Journal
Article 3, Volume 41, Issue 2, December 1997, Pages 110-122
Document Type: Original Article
DOI: 10.21608/esju.1997.314645
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
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