Title
An Aging Notion Derived From The Increasing Convex Ordering: The Nbuca Class
Keywords
Classes of life distributions; Convolution; Increasing convex order; Life testing; Mixing; NBU, NBUC and NBUCA; Shock models
Abstract
In this paper, comparison between the life distribution of a new unit with that of the remaining life or a used unit in the increasing convex order leads us to introduce a new class of life distributions which we call new better than used in increasing convex average order and denote by NBUCA. This class includes as subclasses the new better than used, NBU and the new better than used in increasing convex ordering, NBUC. Several properties of this class are presented, including the preservation under convolution, random maxima, mixing and formation of coherent structures. Stochastic comparisons of the excess lifetime at different times of a renewal process when the interarrival times belong to the NBUCA class are established. We provide also some applications of Poisson shock models. Finally testing exponentially against NBUCA is presented. © 2004 Elsevier B.V. All rights reserved.
Publication Date
3-1-2006
Publication Title
Journal of Statistical Planning and Inference
Volume
136
Issue
3
Number of Pages
555-569
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1016/j.jspi.2004.07.015
Copyright Status
Unknown
Socpus ID
28044470741 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/28044470741
STARS Citation
Ahmad, I. A.; Ahmed, A.; Elbatal, I.; and Kayid, M., "An Aging Notion Derived From The Increasing Convex Ordering: The Nbuca Class" (2006). Scopus Export 2000s. 8538.
https://stars.library.ucf.edu/scopus2000/8538