Uncertainty analysis in software reliability modeling by Bayesian approach with maximum-entropy principle

IEEE Transactions on Software Engineering

Volumn 33, Issue 11, 2007, Pages 781-795

  Dai, Yuan Shun ^a   Xie, Min ^b   Long, Qan ^b   Ng, Szu Hui ^b  

^a University of Tennessee   (United States)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Bayesian method; Graph theory; Markov model; Monte Carlo; Software Reliability; Uncertainty analysis

Indexed keywords

BAYESIAN NETWORKS; GRAPH THEORY; LARGE SCALE SYSTEMS; MARKOV PROCESSES; MATHEMATICAL MODELS; MONTE CARLO METHODS; UNCERTAINTY ANALYSIS;

MAXIMUM-ENTROPY PRINCIPLE; PARAMETER UNCERTAINTY;

SOFTWARE RELIABILITY;

EID: 35348975048     PISSN: 00985589     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSE.2007.70739     Document Type: Article

References (38)

1. A.E. Abbas, "Entropy Methods for joint Distributions in Decision Analysis," IEEE Trans. Eng. Management, vol. 53, no. 1, pp. 146-159, 2006.
2. T. Adams, "Total Variance Approach to Software Reliability Estimation," IEEE Trans. Software Eng., vol. 22, no. 9, pp. 687-688, Sept. 1996.
3. J. Berger, "The Case for Objective Bayesian Analysis," Bayesian Analysis, vol. 1, no. 3, pp. 385-402, 2006.
4. J. Berger, Statistical Decision Theory and Bayesian Analysis. Springer-Verlag, 1985.
5. A.L. Berger, S.A. Della, and V.J. Della, "A Maximum Entropy Approach to Natural Language Processing," Computational Linguistics, vol. 22, no. 1, pp. 39-71, 1996.
6. J. Bernardo and A. Smith, Bayesian Theory. Wiley, 1994.
7. Y.S. Dai and G. Levitin, "Reliability and Performance of Tree-Structured Grid Services," IEEE Trans. Reliability, vol. 55, no. 2, pp. 337-349, 2006.
8. Y.S. Dai, M. Xie, K.L. Poh, and G.Q. Liu, "A Study of Service Reliability and Availability for Distributed Systems," Reliability Eng. and System Safety, vol. 79, pp. 103-112, 2003.
9. Y.S. Dai, M. Xie, K.L. Poh, and B. Yang, "Optimal Testing-Resource Allocation with Genetic Algorithm for Modular Software Systems," J. Systems and Software, vol. 66, pp. 47-55, 2003.
10. M.H. DeGroot and M.J. Schervish, Probability and Statistics. Addison-Wesley, 2002.
11. G.L. Eyink and S. Kim, "A Maximum Entropy Method for Particle Filtering," J. Statistical Physics, vol. 123, no. 5, pp. 1071-1128, 2005.
12. A.L. Goel and K. Okumoto, "Time Dependent Error-Detection Rate Model for Software Reliability and Other Performance Measures," IEEE Trans. Reliability, vol. 28, pp. 206-211, 1979.
13. M. Goldstein, "Subjective Bayesian Analysis: Principles and Practice," Bayesian Analysis, vol. 1, no. 3, pp. 403-420, 2006.
14. B.R. Haverkort and A.M.H. Meeuwissen, "Sensitivity and Uncertainty Analysis of Markov-Reward Models," IEEE Trans. Reliability, vol. 44, no. 1, pp. 147-154, 1995.
15. D.E. Holmes, "Toward a Generalized Bayesian Network," Proc. Am. Inst. Physics Conf. Bayesian Inference and Maximum Entropy Methods in Science and Eng., vol. 872, pp. 195-202, 2006.
16. E.T. Jaynes, "Information Theory and Statistical Mechanics," Statistical Physics, pp. 181-218, 1963.
17. Z. Jelinski and P.B. Moranda, "Software Reliability Research," Statistical Computer Performance Evaluation, W. Freiberger, ed., pp. 465-497, Academic Press, 1972.
18. W.S. Jewell, "Bayesian Extensions to a Basic Model of Software Reliability," IEEE Trans. Software Eng., vol. 11, no. 12, pp. 1465-1471, Dec. 1985.
19. J. Kapur, Maximum-Entropy Models in Science and Engineering. John Wiley & Sons, 1989.
20. S. Kim, F.B. Bastani, I.L. Yen, and I.R. Chen, "Systematic Reliability Analysis of a Class of Application-Specific Embedded Software Framework," IEEE Trans. Software Eng., vol. 30, no. 4, pp. 218-230, 2004.
21. D. Kurowicka and R. Cooke, Uncertainty Analysis with High Dimensional Dependence Modeling. Wiley, 2006.
22. M. Masera, "Uncertainty Propagation in Fault Tree Analyses Using Lognormal Distributions," IEEE Trans. Reliability, vol. 36, no. 1, pp. 145-149, 1987.
23. K.W. Miller, L.J. Morell, R.E. Noonan, S.K. Park, D.M. Nicol, B.W. Murrill, and J.M. Voas, "Estimating the Probability of Failure When Testing Reveals No Failures," IEEE Trans. Software Eng., vol. 18, no. 1, pp. 33-43, Jan. 1992.
24. I. Myrtveit, E. Stensrud, and M. Shepperd, "Reliability and Validity in Comparative Studies of Software Prediction Models," IEEE Trans. Software Eng., vol. 31, no. 5, pp. 380-391, May 2005.
25. P.D.T. O'Connor, "Quantifying Uncertainty in Reliability and Safety Studies," Microelectronics and Reliability, vol. 35, nos. 9-10, pp. 1347-1356, 1995.
26. H. Pham, Software Reliability. Springer-Verlag, 2000.
27. C. Robert, The Bayesian Choice: A Decision Theoretic Motivation. Springer-Verlag, 1994.
28. R.W. Selby, "Enabling Reuse-Based Software Development of Large-Scale Systems," IEEE Trans. Software Eng., vol. 31, no. 6, pp. 495-510, June 2005.
29. C.E. Shannon, "A Mathematical Theory of Communication," The Bell System Technical J., vol. 27, pp. 379-423, 1948.
30. P. Soundappan, E. Nikolaidis, R.T. Haftka, R. Grandhi, and R. Canfield, "Comparison of Evidence Theory and Bayesian Theory for Uncertainty Modeling," Reliability Eng. and System Safety, vol. 85, nos. 1-3, pp. 295-311, 2004.
31. C.Y. Tseng, "Entropic Criterion for Model Selection," Physica A: Statistical and Theoretical Physics, vol. 370, no. 2, pp. 530-538, 2005.
32. K.S. Trivedi, Probability and Statistics with Reliability, Queuing, and Computer Applications. Prentice-Hall, 1982.
33. D.A. Wooff, M. Goldstein, and F.P.A. Coolen, "Bayesian Graphical Models for Software Testing," IEEE Trans. Software Eng., vol. 28, no. 5, pp. 510-525, May 2002.
34. M. Xie, Y.S. Dai, and K.L. Poh, Computing System Reliability: Models and Analysis. Kluwer Academic, 2004.
35. M. Xie, G.Y. Hong, and C. Wohlin, "A Study of the Exponential Smoothing Technique in Software Reliability Growth Prediction," Quality and Reliability Eng. Int'l, vol. 13, no. 6, pp. 347-353, 1997.
36. B. Yang and M. Xie, "A Study of Operational and Testing Reliability in Software Reliability Analysis," Reliability Eng. and System Safety vol. 70, pp. 323-329, 2000.
37. L. Yin, M.A.J. Smith, and K.S. Trivedi, "Uncertainty Analysis in Reliability Modeling," Proc. Ann. Reliability and Maintainability Symp., pp. 229-234, 2001.
38. L. Yin and K.S. Trivedi, "Confidence Interval Estimation of NHPP-Based Software Reliability Models," Proc. 10th Int'l Symp. Software Reliability Eng., pp. 6-11, 1999.