Skip to main content
SpringerLink
Log in
Book cover

Lifetime Data: Models in Reliability and Survival Analysis pp 291–298Cite as

Sequential Multi-Hypothesis Testing in Software Reliability

  • Chapter

  • 745 Accesses

Abstract

We propose a sequential method for solving the multi-hypothesis testing problem in software reliability, and derive tests for the parameters involved under the Jelinski-Moranda, Shick-Wolverton, the geometric error detection rate, and the error-content proportional detection rate models. Sequential tests are obtained by applying a generalized Wald’s sequential probability ratio test due to Bechhofer, Kiefer and Sobel (1968), and they guarantee an average probability of correct decision to be at least 1 − β (preassigned) when sampling terminates and a given terminal decision rule is applied. This new approach represents a natural application of classical results in sequential analysis to the (relatively new) area of software reliability testing.

This is a preview of subscription content, 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   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Bechhofer, R. E., Kiefer, J., and Sobel, M. (1968). Sequential Identification and Ranking Procedures, Chicago: University of Chicago Press.

    Google Scholar 

  • Boland, P. J., Proschan, F. and Tong, Y. L. (1987). Fault Diversity in Software Reliability, Prob. Eng. Informa. Sci. 1, 175–188.

    Google Scholar 

  • Jelinski, Z. and Moranda, P. (1972). Software Reliability Research. In Statistical Computer Performance Evaluation, W. Freiberger, ed., New York: Academic Press, 465–484.

    Google Scholar 

  • Joe, H. and Reid, N. (1985). Estimating the Number of Faults in a System, J. Amer. Statis. Assoc. 80, 222–226.

    Article  MathSciNet  Google Scholar 

  • Ross, S. M. (1985). Software Reliability: The Stopping Rules Problem, IEEE Trans. Software Eng. 11, 1472–1476.

    Article  Google Scholar 

  • Shanthikumar, J. G. (1983). Software Reliability Models: A Review, Microelectronic Relia. 23, 903–943.

    Article  Google Scholar 

  • Singpurwalla, N. D. (1991). Determining an Optimal Time Interval for Testing and Debugging Software, IEEE Trans. Software Eng. 17, 313–319.

    Article  Google Scholar 

  • Wald, A. (1947). Sequential Analysis, New York: Wiley.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Statistical Science, Academia Sinica, Taipei, Taiwan, ROC

    J. S. Shieh & Y. L. Tong

  2. School of Mathematics, Georgia Institute of Technology, Atlanta, GA, 30332, USA

    J. S. Shieh & Y. L. Tong

Authors
  1. J. S. Shieh
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Y. L. Tong
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. University of California, Berkeley, California, USA

    Nicholas P. Jewell

  2. University of Surrey, Guildford, Surrey, UK

    Alan C. Kimber

  3. Harvard University and Brigham and Women’s Hospital, Boston, Massachusetts, USA

    Mei-Ling Ting Lee

  4. McGill University, Montreal, Quebec, Canada

    G. A. Whitmore

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Shieh, J.S., Tong, Y.L. (1996). Sequential Multi-Hypothesis Testing in Software Reliability. In: Jewell, N.P., Kimber, A.C., Lee, ML.T., Whitmore, G.A. (eds) Lifetime Data: Models in Reliability and Survival Analysis. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-5654-8_38

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-5654-8_38

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-4753-6

  • Online ISBN: 978-1-4757-5654-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation