Title
Moment Inequalities Derived From Comparing Life With Its Equilibrium Form
Keywords
Asymptotic normality; Asymptotic relative efficiency; Comparison in expectation; Equilibrium life; Hypothesis testing; Life; Life families of positive ageing; Remaining life; Stochastic comparison; U-statistics
Abstract
A life is characterized by a nonnegative random variable. Associated with life, two notions are interesting in applications such as biomedical research, engineering and statistics. These are the notions of random remaining life at a certain age and its equilibrium (stationary) limit as the age tends to infinity. In the current investigation, comparisons between these three notions both stochastically and in expectation are discussed where moments inequalities based on these comparisons are presented. These inequalities are then used to develop testing the hypothesis of exponentiality against orderings based on these comparisons. © 2004 Elsevier B.V. All rights reserved.
Publication Date
10-1-2005
Publication Title
Journal of Statistical Planning and Inference
Volume
134
Issue
2
Number of Pages
303-317
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1016/j.jspi.2004.04.016
Copyright Status
Unknown
Socpus ID
21644438145 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/21644438145
STARS Citation
Mugdadi, A. R. and Ahmad, I. A., "Moment Inequalities Derived From Comparing Life With Its Equilibrium Form" (2005). Scopus Export 2000s. 3705.
https://stars.library.ucf.edu/scopus2000/3705