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Prof. Zohdy Mohamed Nofal Abd Elkhalek :: Publications: |
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| Title: | On Some New Families Based on the Exponential
Better than Used Concept |
| Authors: | Z. M. Nofal and M. S. Hamed Department of |
| Year: | 2014 |
| Keywords: | Exponential, convolution, mixing and EBU |
| Journal: | Applied Mathematical Sciences, |
| Volume: | 8 |
| Issue: | 164 |
| Pages: | 8153 - 8170 |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | |
| Full paper | Zohdy Mohamed Nofal Abd Elkhalek_nofalAMS161-164-2014.pdf |
| Supplementary materials | Not Available |
| Abstract: |
New families of life distributions Based on the Exponential Better than Used Concept are introduced. Definitions and Basic Results are stated. Several properties of these classes are presented, including the preservation under convolution and mixing. Testing exponentially against exponential better (worse) than used in convex order (2),EBUC(2), is proposed by using moment inequalities. The Pitman asymptotic efficiency (PAE) is discussed. Selected critical values are tabulated for selected sample sizes. Application with real data is given to illustrate the theoretical results. |
