Testing EBUCA Class of Life Distribution Based on Goodness of Fit Approach | ||||
| The Egyptian Statistical Journal | ||||
| Article 4, Volume 51, Issue 2, December 2007, Page 73-84 PDF (17.51 MB) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/esju.2007.313840 | ||||
 View on SCiNiTO | ||||
| Author | ||||
Ibrahim B. Abdul-Moniem 
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| The Higher Institute for Specialized Technological Studies, Future Academy, Cairo, Egypt | ||||
| Abstract | ||||
| Test statistics for testing exponentiality against exponential better (worse) than used in convex average EBUCA is proposed in non-censored and censored cases by using goodness of fit approach. Selected critical values are tabulated. Powers of the test are estimated by simulation for some commonly used distributions in reliability. Pitman's asymptotic efficiencies of the test are calculated and compared with others test. Finally real examples are also presented for both cases to illustrate the theoretical results. | ||||
| Keywords | ||||
| EBUCA; EWUCA - Exponential Distribution - Survival Function - Goodness of Fit Test - U-Statistic; Power - Pitman's Asymptotic Efficiency - Right Censored Data - Kaplan-Meier Estimator | ||||
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