Skip to main content

Research on Bayes Reliability Assessment for Test Data

  • Conference paper
Communication Systems and Information Technology

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 100))

  • 1874 Accesses

Abstract

Inverse Weibull distribution model has been recently proposed as a model in the analysis of life testing data. According to the distribution function of the Inverse Weibull distribution, concerning characters of failure data, the uniform distribution was taken as an prior distribution of the failure probability, in order to estimate the failure probability using the Bayes method. The least squares estimates of the distribution parameters were given, and Bayes estimation of failure probability was presented, so that the reliability assessment was obtained.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Han, M.: Estimation of Parameter in the Case of Zero-Failure Data. Journal of Systems Science and Systems Engineering 10(4), 450–456 (2001)

    Google Scholar 

  2. Liu, H.-t., Zhang, Z.-h.: Bayesian Analysis of Zero-failure Data Based on IFRA Distribution. Journal of China Ordnance 5(1), 65–69 (2009)

    Google Scholar 

  3. Keller, A.Z., Kamath, A.R.R.: Alternative reliability models for mechanical systems. Paper presented at 3rd International conference on Reliability and Maintainability, Toulouse, France (1982)

    Google Scholar 

  4. Calabria, R., Pulcini, G.: Confidence limits for reliability and tolerance limits in the inverse Weibull distribution. Reliability Engineering and System Safety 24, 77–85 (1989)

    Article  Google Scholar 

  5. Calabria, R., Pulcini, G.: Bayes probability intervals in a load-strength model. Comm. Statistics –Theory and Methods 21, 3393–3405 (1992)

    Article  MathSciNet  Google Scholar 

  6. Calabria, R., Pulcini, G.: On the maximum likelihood and leastsquares estimation in the inverse Weibull distribution. Statistica Applicata 2, 53–66 (1990)

    Google Scholar 

  7. Calabria, R., Pulcini, G.: Bayes 2-sample prediction for the inverse Weibull distribution. Commun. Statist. – Theory Meth. 23(6), 1811–1824 (1994)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Qingtian, H., Lian, L., Jia, C. (2011). Research on Bayes Reliability Assessment for Test Data. In: Ma, M. (eds) Communication Systems and Information Technology. Lecture Notes in Electrical Engineering, vol 100. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21762-3_66

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-21762-3_66

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21761-6

  • Online ISBN: 978-3-642-21762-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics