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Dr. Ahmed Z. Afify :: Publications: |
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| Title: | A new aging concept derived from the increasing convex ordering. |
| Authors: | Abouelmagd, T. H. M., Ahmed, A. A. E., Abd Elrazik, E. M., Mansour, M. M., Ahmed, A. N. and Afify, A. Z. |
| Year: | 2019 |
| Keywords: | Not Available |
| Journal: | Communications in Statistics - Theory and Methods. |
| Volume: | 48 |
| Issue: | Not Available |
| Pages: | 2904-2916. |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | |
| Full paper | Not Available |
| Supplementary materials | Not Available |
| Abstract: |
In this paper, a comparison between the life distribution of a new unit with that of a used unit in the increasing convex order is made leading to a new class of life distributions which we call “new better than used in convex ordering of second order”. This class includes as subclasses the NBU and the NBUC and is a subclass of the NBUCA class. Preservation properties under convolution, random maxima, mixing and formation of coherent structures are established. Stochastic comparisons of the excess lifetime when the inter-arrival times belong to the NBUC(2) class are developed. Some applications of Poisson shock models and a test of exponentiality against NBUC(2) alternative are presented. |
