Affiliation:
1. Lanzhou Jiaotong University
Abstract
This note investigates the residual lives of the remaining components of an (n-k+1) out of n system with independent and identical components after the kth failure has been observed. Some aging properties and stochastic comparisons on the residual life are obtained.
Publisher
Trans Tech Publications, Ltd.
Reference9 articles.
1. H.A. David, Order Statistics, 2nd ed, Wiley, New York, (1981).
2. H.A. David, H. Nagaraja, Order Statistics, 3nd ed, Wiley, New York, (2003).
3. I. Bairamov, B.C. Arnold, On the residual lifelengths of the remaining components in an out of n systems, Statistical and Probability Letters 78 (2008) 945-952.
4. M. Shaked, J.G. Shanthikumar, Stochastic orders and their applications, Academic Press, San Diego, (2007).
5. R.E. Barlow, F. Proschan, Statistical theory of reliability and life testing, Holt. Reinhart and Winston, New York, (1981).