Table of Contents
Advances in Software Engineering
Volume 2012 (2012), Article ID 524636, 9 pages
http://dx.doi.org/10.1155/2012/524636
Research Article

A Comparative Study of Data Transformations for Wavelet Shrinkage Estimation with Application to Software Reliability Assessment

Department of Information Engineering, Graduate School of Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-Hiroshima 739-8527, Japan

Received 6 January 2012; Revised 6 March 2012; Accepted 6 March 2012

Academic Editor: Chin-Yu Huang

Copyright © 2012 Xiao Xiao and Tadashi Dohi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. M. R. Lyu, Ed., Handbook of Software Reliability Engineering, McGraw-Hill, New York, NY, USA, 1996.
  2. J. D. Musa, A. Iannino, and K. Okumoto, Software Reliability, Measurement, Prediction, Application, McGraw-Hill, New York, NY, USA, 1987.
  3. H. Pham, Software Reliability, Springer, Singapore, Singapore, 2000.
  4. A. L. Goel and K. Okumoto, “Time-dependent error-detection rate model for software reliability and other performance measures,” IEEE Transactions on Reliability, vol. R-28, no. 3, pp. 206–211, 1979. View at Google Scholar · View at Scopus
  5. A. L. Goel, “Software reliability models: assumptions, limitations and applicability,” IEEE Transactions on Software Engineering, vol. SE-11, no. 12, pp. 1411–1423, 1985. View at Google Scholar · View at Scopus
  6. X. Xiao and T. Dohi, “Estimating software reliability using extreme value distribution,” in Proceedings of the International Conference on Advances in Software Engineering and Its Applications (ASEA '11), vol. CCIS 257, pp. 399–406, Springer, 2011.
  7. X. Xiao, H. Okamura, and T. Dohi, “NHPP-based software reliability models using equilibrium distribution,” IEICE Transactions of the Fundamentals A, vol. E95-A, no. 5, pp. 894–902, 2012. View at Google Scholar
  8. S. Yamada, M. Ohba, and S. Osaki, “S-shaped reliability growth modeling for software error detection,” IEEE Transactions on Reliability, vol. R-32, no. 5, pp. 475–484, 1983. View at Google Scholar · View at Scopus
  9. A. Sofer and D. R. Miller, “A non-parametric software reliability growth model,” IEEE Transactions on Reliability, vol. R-40, no. 3, pp. 329–337, 1991. View at Google Scholar
  10. A. Gandy and U. Jensen, “A non-parametric approach to software reliability,” Applied Stochastic Models in Business and Industry, vol. 20, no. 1, pp. 3–15, 2004. View at Google Scholar · View at Scopus
  11. M. Barghout, B. Littlewood, and A. Abdel-Ghaly, “A non-parametric order statistics software reliability model,” Software Testing Verification and Reliability, vol. 8, no. 3, pp. 113–132, 1998. View at Google Scholar · View at Scopus
  12. Z. Wang, J. Wang, and X. Liang, “Non-parametric estimation for NHPP software reliability models,” Journal of Applied Statistics, vol. 34, no. 1, pp. 107–119, 2007. View at Publisher · View at Google Scholar · View at Scopus
  13. M. A. El-Aroui and J. L. Soler, “A bayes nonparametric framework for software-reliability analysis,” IEEE Transactions on Reliability, vol. 45, no. 4, pp. 652–660, 1996. View at Google Scholar · View at Scopus
  14. S. P. Wilson and F. J. Samaniego, “Nonparametric analysis of the order-statistic model in software reliability,” IEEE Transactions on Software Engineering, vol. 33, no. 3, pp. 198–208, 2007. View at Publisher · View at Google Scholar · View at Scopus
  15. X. Xiao and T. Dohi, “Wavelet-based approach for estimating software reliability,” in Proceedings of the 20th International Symposium on Software Reliability Engineering (ISSRE '09), pp. 11–20, IEEE CS Press, November 2009. View at Publisher · View at Google Scholar · View at Scopus
  16. F. J. Anscombe, “The transformation of Poisson, binomial and negative binomial data,” Biometrika, vol. 35, no. 3-4, pp. 246–254, 1948. View at Publisher · View at Google Scholar
  17. M. Fisz, “The limiting distribution of a function of two independent random variables and its statistical application,” Colloquium Mathematicum, vol. 3, pp. 138–146, 1955. View at Google Scholar
  18. M. S. Bartlett, “The square root transformation in the analysis of variance,” Journal of the Royal Statistical Society, vol. 3, no. 1, pp. 68–78, 1936. View at Google Scholar
  19. M. F. Freeman and J. W. Tukey, “Transformations related to the angular and the square root,” The Annals of Mathematical Statistics, vol. 21, no. 4, pp. 607–611, 1950. View at Google Scholar
  20. H. Ishii, T. Dohi, and H. Okamura, “Software reliability prediction based on least squares estimation,” Quality Technology and Quantitative Management Journal. In press.
  21. D. L. Donoho and J. M. Johnstone, “Ideal spatial adaptation by wavelet shrinkage,” Biometrika, vol. 81, no. 3, pp. 425–455, 1994. View at Publisher · View at Google Scholar · View at Scopus
  22. G. P. Nason, “Wavelet shrinkage using cross-validation,” Journal of the Royal Statistical Society B, vol. 58, no. 2, pp. 463–479, 1996. View at Google Scholar