Dynamic signatures and their use in comparing the reliability of new and used systems

Naval Research Logistics

Volumn 56, Issue 6, 2009, Pages 577-591

  Samaniego, Francisco J ^a   Balakrishnan, N ^b   Navarro, Jorge ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b MCMASTER UNIVERSITY   (Canada)

^c UNIVERSITY OF MURCIA   (Spain)

Author keywords

Aging; And DFR classes; Burn in; Coherent system; Hazard rate and likelihood ratio orderings; IFR; K out of n system; Nonparametric models; Order statistics; Signature; Stochastic; The NBU

Indexed keywords

AGING; AND DFR CLASSES; BURN-IN; COHERENT SYSTEM; HAZARD RATE AND LIKELIHOOD RATIO ORDERINGS; IFR; K-OUT-OF-N SYSTEM; NONPARAMETRIC MODELS; ORDER STATISTICS; SIGNATURE; STOCHASTIC; THE NBU;

MAXIMUM LIKELIHOOD ESTIMATION; PROBABILITY DISTRIBUTIONS; QUALITY ASSURANCE; RAILROAD CAR EQUIPMENT; RELIABILITY THEORY; STOCHASTIC MODELS;

SAFETY ENGINEERING;

EID: 68949108081     PISSN: 0894069X     EISSN: 15206750     Source Type: Journal    
DOI: 10.1002/nav.20370     Document Type: Article

References (19)

1. I. Bairamov and B.C. Arnold, On the residual lifelengths of the remaining components in an n - k + 1 out of n system, Stat Probab Lett 78 (2008), 945-952.
2. R.E. Barlow and F. Proschan, Statistical theory of reliability and life testing, To Begin With, Silver Spring, MD, 1981.
3. H. Block, M.R. Dugas, and F.J. Samaniego, "Characterizations of the relative behaviour of two systems via properties of their signature vector," Advances in distribution theory, order statistics and inference, N. Balakrishnan, E. Castillo, and J.M. Sarabia (Editors), Birkhauser, Boston, 2006, pp. 279-289.
4. H. Block and T. Savits, Burn-in, Stat Sci 12 (1997), 1-13.
5. H. Block, J. Mi, and T. Savits, Burn-in and mixed populations, J Appl Probab 30 (1993), 692-702.
6. H. Block, J. Mi, and T. Savits, Some results on burn-in, Stat Sin 4 (1994), 525-533.
7. P.J. Boland and F.J. Samaniego, "The signature of a coherent system and its applications in reliability," Mathematical reliability: An expository perspective, R. Soyer, T. Mazzuchi, and N.D. Singpurwalla (Editors), Kluwer Publishers, Boston, 2004, pp. 1-29.
8. M.R. Dugas and F.J. Samaniego, On optimal system designs in reliability-economics frameworks, Naval Res Logist 54 (2007), 568-582.
9. S. Kochar, H. Mukerjee, and F.J. Samaniego, The "signature" of a coherent system and its application to comparison among systems, Naval Res Logist 46 (1999), 507-523.
10. H.L. Harter and N. Balakrishnan, CRC handbook of tables for the use of order statistics in estimation, CRC Press, Boca Raton, 1996.
11. J. Navarro and S. Eryilmaz, Mean residual lifetimes of consecutive-k-out-of-n systems, J Appl Probab 44 (2007), 82-98.
12. J. Navarro, J.M. Ruiz, and C.J. Sandoval, Properties of coherent systems with dependent components, Commun Stat Theory Methods 36 (2007), 175-191. (Pubitemid 46324076)
13. J. Navarro, N. Balakrishnan, and F.J. Samaniego, Mixture representations of residual lifetimes of used systems, J Appl Probab 45 (2008), 1097-1112.
14. J. Navarro, F.J. Samaniego, N. Balakrishnan, and D. Bhat- tacharya, On the application and extension of system signatures to problems in engineering reliability, Naval Res Logist 55 (2008), 313-327.
15. J. Navarro and M. Shaked, Hazard rate ordering of order statistics and systems, J Appl Probab 43 (2006), 391-408.
16. F.J. Samaniego, On closure of the IFR class under formation of coherent systems, IEEE Trans Reliabil R-34 (1985), 69-72.
17. F.J. Samaniego, "On the comparison of engineered systems of different sizes," in: Proceedings of the 12th Annual Army Conference on Applied Statistics, Aberdeen Proving Ground, Army Research Laboratory, 2006.
18. F.J. Samaniego, System signatures and their applications in engineering reliability, International Series in Operations Research and Management Science, Vol.110, Springer, New York, 2007.
19. M. ShakedandJ.G. Shanthikumar, Stochastic orders, Springer, New York, 2007.