Testing EBUCA Class of Life Distribution Using U-Test
(2008). Testing EBUCA Class of Life Distribution Using U-Test. EKB Journal Management System, 52(1), 1-8. doi: 10.21608/esju.2008.234672
. "Testing EBUCA Class of Life Distribution Using U-Test". EKB Journal Management System, 52, 1, 2008, 1-8. doi: 10.21608/esju.2008.234672
(2008). 'Testing EBUCA Class of Life Distribution Using U-Test', EKB Journal Management System, 52(1), pp. 1-8. doi: 10.21608/esju.2008.234672
Testing EBUCA Class of Life Distribution Using U-Test. EKB Journal Management System, 2008; 52(1): 1-8. doi: 10.21608/esju.2008.234672

Testing EBUCA Class of Life Distribution Using U-Test

The Egyptian Statistical Journal
Article 1, Volume 52, Issue 1, June 2008, Page 1-8  XML PDF (2.7 MB)
Document Type: Original Article
DOI: 10.21608/esju.2008.234672
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Abstract
In this paper, a new class of life distribution namely exponential better than used in convex average and denoted by (EBUCA), or its dual (EWUCA) is introduced. Testing exponentiality against ( EBUCA) based on U-statistics is investigated. The percentiles of these tests are tabulated for samples sizes n=5 (1) 40. The power of the test is simulated for some commonly used distributions in reliability. Pitman's asymptotic efficiency of the test is calculated and compared. Data for 40 patients suffering from blood cancer disease (Leukemia) is considered as a practical application of the proposed test on medical data.
Keywords
asymptotic normality; life distribution; positive ageing; U-statistics; power estimates; asymptotic relative efficiency; test exponentiality; EBUCA
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