Title :
Starshaped Ordering of Life Distributions and Its Aging Properties
Author :
Kayid, M. ; Diab, L.S. ; Alzughaibi, A. ; Ahmad, Ibrahim A.
Author_Institution :
Dept. of Stat. & Oper. Res., King Saud Univ., Riyadh, Saudi Arabia
fDate :
3/1/2011 12:00:00 AM
Abstract :
In this paper, we introduce a new aging class of life distributions based upon the starshaped ordering. This class can be useful in situations where some new better than used aging classes fail. Some properties are presented including the relationship of this class to other aging classes, and the preservation properties under some reliability operations. Finally, we discuss testing exponentially against this class, and apply this test to some data sets in the context of reliability.
Keywords :
ageing; life testing; reliability; aging classes; aging properties; life distribution; preservation properties; reliability operations; starshaped ordering; Asymptotic Pitman efficacy; Monte Carlo methods; increasing convex order; new better than used; new better than used in increasing convex order; stochastic order;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.2010.2091555