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A new aging concept derived from the increasing convex ordering

Author

Listed:
  • T. H. M. Abouelmagd
  • A. A. E. Ahmed
  • Enayat M. Abd Elrazik
  • Mahmoud M. Mansour
  • A-Hadi N. Ahmed
  • Ahmed Z. Afify

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.

Suggested Citation

  • T. H. M. Abouelmagd & A. A. E. Ahmed & Enayat M. Abd Elrazik & Mahmoud M. Mansour & A-Hadi N. Ahmed & Ahmed Z. Afify, 2019. "A new aging concept derived from the increasing convex ordering," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(12), pages 2904-2916, June.
    • Handle: RePEc:taf:lstaxx:v:48:y:2019:i:12:p:2904-2916
    DOI: 10.1080/03610926.2018.1473593
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