Skip to main content
SpringerLink
Log in

On the Failure Rate

  • Chapter
Book cover Statistical and Probabilistic Models in Reliability

Part of the book series: Statistics for Industry and Technology ((SIT))

  • 391 Accesses

Abstract

Some considerations concerning the concept of failure rate are presented. For a semi-Markov process are given equations of Markov renewal type using the failure rates of passing from a state into another. The existence and uniqueness of the solutions is discussed.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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. Çinlar, E. (1969). Markov renewal theory, Advances in Applied Probability, 1, 123–187.

    Article  MathSciNet  MATH  Google Scholar 

  2. Gupta, R. C. and Kirmani, S. N. U. A. (1987). On order relations between reliability measures, Communications in Statistics—Stochastic Models, 3, 149–156.

    Article  MathSciNet  MATH  Google Scholar 

  3. Korolyuk, V. S. and Turbin, A. F. (1976). Semi-Markov Processes and Its Applications, Kiev: Naukova Dumka (in Russian).

    Google Scholar 

  4. Leadbetter, M. R. (1970). On basic results of point process theory, Proceedings of the 6-th Berkeley Symposium on Mathematics and Statistics on Probability, pp. 449–462, Berkeley, CA: University of California Press.

    Google Scholar 

  5. Limnios, N. and Oprişan, Gh. (1997). A general framework for reliability and performability modelling of semi-Markov process, Contributed papers, VIII International Symposium on Applied Stochastic Models and Data Analysis, pp. 261–266, Napoli-Italy, June 11–14, Rocca Curto Editore.

    Google Scholar 

  6. Thompson, W. A., Jr. (1981), On the foundation of reliability, Technometrics, 23, 1–13.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Politehnica University of Bucharest, Bucharest, Romania

    Gheorghe Oprişan

Authors
  1. Gheorghe Oprişan
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Power Engineering Faculty, University Politehnica Bucharest, 77206, Bucharest, Romania

    D. C. Ionescu

  2. Division Mathématiques Appliquées, Université de Technologie de Compiègne, 60205, Compiègne Cedex, France

    N. Limnios

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer Science+Business Media New York

About this chapter

Cite this chapter

Oprişan, G. (1999). On the Failure Rate. In: Ionescu, D.C., Limnios, N. (eds) Statistical and Probabilistic Models in Reliability. Statistics for Industry and Technology. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1782-4_16

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-1782-4_16

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7280-9

  • Online ISBN: 978-1-4612-1782-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation