Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content
Springer Nature Link
Log in

Aging properties of the lifetime in simple additive degradation models

  • Published:
Journal of Systems Science and Complexity Aims and scope Submit manuscript

Abstract

This paper deals with the simple additive degradation models with single random effect. The authors further study the link between the aging property of the implied lifetime and that of the random variation. It is found that both the aging property of the random variation and the analytical behavior of the mean degradation path influence the aging behavior of the implied lifetime.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. C. J. Lu and W. Q. Meeker, Using degradation measures to estimate of time to failure distribution, Technometrics, 1993, 35: 161–176.

    Article  MathSciNet  MATH  Google Scholar 

  2. S. J. Bae and P. H. Kvam, A nonlinear random coefficients model for degradation testing, Technometrics, 2004, 46: 460–469.

    Article  MathSciNet  Google Scholar 

  3. S. J. Bae, W. Kuo, and P. H. Kvam, Degradation models and implied lifetime distributions, Reliability Engineering and System Safety, 2007, 92: 601–608.

    Article  Google Scholar 

  4. H. W. Block and T. H. Savits, The reversed hazard rate function, Probability in the Engineering and Informational Sciences, 1998, 12: 69–70.

    Article  MathSciNet  MATH  Google Scholar 

  5. N. K. Chandra and D. Roy, Some results on reversed hazard rate, Probability in the Engineering and Informational Sciences, 2001, 15: 95–102.

    Article  MathSciNet  MATH  Google Scholar 

  6. F. S. Finkelstein, On the reversed hazard rate, Reliability Engineering and System Safety, 2002, 78: 71–75.

    Article  Google Scholar 

  7. X. Li and J. Lu, Stochastic comparisons on residual life and inactivity time of series and parallel systems, Probability in Engineering and Informational Sciences, 2003, 17: 267–275.

    MathSciNet  MATH  Google Scholar 

  8. X. Li and Ming J. Zuo, Stochastic comparison on residual life and inactivity time at random time with applications, Stochastic Models, 2004, 20: 229–235.

    Article  MathSciNet  Google Scholar 

  9. R. E. Barlow and F. Proschan, Statistical Theory of Reliability and Life Testing, To Begin with, Silver Springer: MD., 1981.

    Google Scholar 

  10. M. Shaked and J. G. Shanthikumar, Stochastic Orders and Their Applications, Academic Press, San Diego, 1994.

    MATH  Google Scholar 

  11. M. Bagnoli and T. Bergstrom, Log-concave probability and its applications, Economic Theory, 2005, 26: 445–469.

    Article  MathSciNet  MATH  Google Scholar 

  12. A. Müller and D. Stoyan, Comparison Methods for Stochastic Models and Risks, John Wiley & Sons, New York, 2002.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mathematical Science, Xiamen University, Xiamen, 361005, China

    Xiaohu Li

  2. College of Mathematics and Information Science, Northwest Normal University, Lanzhou, 730050, China

    Rongfang Yan

  3. School of Mathematics and Statistics, Carleton University Ottawa, Ontario, K1S 5B6, Canada

    Yiqiang Zhao

Authors
  1. Xiaohu Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Rongfang Yan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yiqiang Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xiaohu Li.

Additional information

This research is supported by National Natural Science Foundation of China under Grant No. 10771090.

This paper was recommended for publication by Editor Guohua ZOU.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, X., Yan, R. & Zhao, Y. Aging properties of the lifetime in simple additive degradation models. J Syst Sci Complex 24, 753–760 (2011). https://doi.org/10.1007/s11424-011-8240-z

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11424-011-8240-z

Key words

Search

Navigation