A new aging concept derived from the increasing convex ordering. Issue 12 (18th June 2019)

• Record Type: Journal Article
• Authors: Abouelmagd, T. H. M.; Ahmed, A. A. E.; Abd Elrazik, Enayat M.; Mansour, Mahmoud M.; Ahmed, A-Hadi N.; Afify, Ahmed Z.
• Is Part Of: Communications in statistics. Volume 48:Issue 12(2019)
• Page Start: 2904
• Page End: 2916
• Publication Date: 2019-06-18
• Subjects: Classes of life distributions -- NBU -- NBUC -- NBUCA -- increasing convex order -- convolution -- mixing -- shock models -- life testing; Primary 62G15 -- 60E15 -- Secondary 6205; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2018.1473593
• Languages: English
• ISSNs: 0361-0926

Abstract

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.