An Empirically Developed Fourier Series Model for Describing Software Failures

IEEE Transactions on Reliability

Volumn R-33, Issue 2, 1984, Pages 176-183

  Crow, Larry H ^a   Singpurwalla, Nozer D ^a  

^a GEORGE WASHINGTON UNIVERSITY   (United States)

Author keywords

Clustering; Cyclic trend; Data analysis; Fourier series; keywords; Software failure; Software reliability; Spectral analysis

Indexed keywords

RELIABILITY THEORY; SPECTRUM ANALYSIS;

FOURIER SERIES MODEL; SOFTWARE FAILURE; SOFTWARE RELIABILITY;

COMPUTER SOFTWARE;

EID: 0021440820     PISSN: 00189529     EISSN: 15581721     Source Type: Journal    
DOI: 10.1109/TR.1984.5221770     Document Type: Article

References (16)

1. T. W. Anderson. The Statistical Analysis of Time Series, 1971, John Wiley & Sons.
2. T. W. Anderson, N. D. Singpurwalla, “Methods and applications of time series analysis: Part I: Regression, trends, smoothing and differencing 1980, Technical Report No. 42, Department of Statistics, Stanford University, Stanford, CA.
3. H. Balaban, N. D. Singpurwalla, “The stochastic properties of a sequence of interfailure times under minimal repair and revival;” 1983 Stochastic Failure Models, Maintenance Policies and Accelerated Life Testing (M. Abdel-Hameed, E. Cinlan and J. Quinn, Eds), 1983, Academic Press.
4. M. B. Brown, F. Proschan, “Imperfect maintenance. Survival Analysis,” The Institute of Mathematical Statistics, Lecture Notes, vol 2, 1983, pp 179–188 (J. Crowley and R. A. Johnson, editors).
5. D. R. Cox, P. A. W. Lewis. The Statistical Analysis of Series of Events, 1966, Spottisnoode, Ballantyne and Co.
6. E. H. Forman, N. D. Singpurwalla, “An empirical stopping rule for debugging and testing computer software,”J. American Statistical Assoc., vol 72, 1977, pp 750–757.
7. D. P. Gaver, “Random hazard in reliability problems,” Technometrics, vol 5, 1963, pp 211–226.
8. M. Horigome, N. D. Singpurwalla, R. Soyer, “A Bayes empirical Bayes approach for (Software) reliability growth,” in Computer Science and Statistics, Proc. Sixteenth Symp. on the Interface, Atlanta, GA, 1984 Mar, North-Holland. (To appear)
9. Z. Jelinski, P. B. Moranda, “Software Reliability Research,” in Statistical Computer Performance Evaluation, (W. Freiberger, ed.), 1972, pp 485–502. Academic Press.
10. J. Kyparisis, N. D. Singpurwalla, “Bayesian inference for the Weibull process with applications to assessing software reliability growth and predicting software failures,” in Computer Science and Statistics, Proc. Sixteenth Symp. on the Interface, Atlanta, GA, 1984 Mar, North-Holland. (To appear)
11. N. Langberg, N. D. Singpurwalla, “Unification of some software reliability models,” 1982, SIAM J. Scientific and Statistical Computing. (To appear)
12. P. A. W. Lewis, “A branching process model for the analysis of computer failure pattern,” J. Royal Statistical Society, B, 1964, pp 398–456.
13. B. Littlewood, J. L. Verrall, “A Bayesian reliability growth model for computer software,” Record IEEE Symp. Computer Software Reliability, 1973, pp 70–77. IEEE, New York.
14. R. E. Meinhold, N. D. Singpurwalla, “Bayesian analysis of a commonly used model of describing software failures,” The Statistician, vol 32, 1983, 168–173.
15. P. M. Nagel, J. A. Skrivan, “Software reliability: Repetitive run experimentation and modeling,” Technical Report NASA-CR-165836, Boeing Computer Services Company, Seattle, Washington, 1982.
16. M. Shooman, “Probabilistic models for software reliability prediction,” Intern. Symp. FaultTolerant Computing, IEEE Computer Society, 1972.