Journal of Korean Society for Quality Management (품질경영학회지)

Korean Society for Quality Management (한국품질경영학회)
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Bayesian Estimation for Inflection S-shaped Software Reliability Growth Model

변곡 S-형 소프트웨어 신뢰도성장모형의 베이지안 모수추정

  • Kim, Hee-Soo (Customs and Trade Laboratory, Korea Customs and Trade Development Institute) ;
  • Lee, Chong-Hyung (Department of Hospital Management, Konyang University) ;
  • Park, Dong-Ho (Department of Information and Statistics, Hallym University)
  • 김희수 (한국관세무역개발원) ;
  • 이종형 (건양대학교 병원관리학과) ;
  • 박동호 (한림대학교 수리정보과학부)
  • Published : 2009.12.31
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Abstract

The inflection S-shaped software reliability growth model (SRGM) proposed by Ohba(1984) is one of the most commonly used models and has been discussed by many authors. The main purpose of this paper is to estimate the parameters of Ohba's SRGM within the Bayesian framework by applying the Markov chain Monte Carlo techniques. While the maximum likelihood estimates for these parameters are well known, the Bayesian method for the inflection S-shaped SRGM have not been discussed in the literature. The proposed methods can be quite flexible depending on the choice of prior distributions for the parameters of interests. We also compare the Bayesian methods with the maximum likelihood method numerically based on the real data.

Keywords

References

  1. Best, N. G., Cowles, M. K. and Vines, S. K. (1996), "CODA : Convergence Diagnosis and Output Analysis Software for Gibbs Sampling Output, Version 0.40, University of Nebraska Medica Center, USA
  2. Gelman, A. and Rubin, D. B.(1992), "Inference from iterative simulation using multiple sequences", Statistical Science, vol.7, pp.457-472 https://doi.org/10.1214/ss/1177011136
  3. Goel, A. L. and Okumoto, K.(1979), "Time Dependent ErrorDetection Rate Model for Software Reliability and Other Performance Measures", IEEE Transactions on Reliability, vol.28, pp.206-211 https://doi.org/10.1109/TR.1979.5220566
  4. Kim, H. S., Yamada, S.and Park, D. H. (2005), "Bayesian Approach to Optimal Release Policy of Software System", IEICE TRANS on Fundamentals of Electronics, Communications and Computer Sciences, vol. E88-A No.12. pp.3618 -3626 https://doi.org/10.1093/ietfec/e88-a.12.3618
  5. Kimura, M., Toyota, T. and Yamada, S. (1999), "Economic Analysis of Software Release Problems with Warranty Cost and Reliability Requirement", Reliability Engineering & System Safety, vol. 66, pp.49-55 https://doi.org/10.1016/S0951-8320(99)00020-4
  6. Nayak, T. K., Bose, S. and Kundu, S. (2008), "On inconsistency of estimators of parameters of nonhomogeneous Poisson process models for software reliability", Statistics and Probability Letters, vol. 78, pp.2217-2221 https://doi.org/10.1016/j.spl.2008.01.089
  7. Kho, B. C. and Yae, S. M. (2005), "Bayesian Analysis of a Stochastic Beta Model in Korean Stock Markets", The Korean Journal of Financial Manage ment, vol.22, No. 2, pp.43-69
  8. Kuo, L., Lee, J.C., Choi, K. and Yang, T.Y. (1997), "Bayesian Inference for S-Shaped Software Reliability Growth Models", IEEE Transactions on Reliability, vol.46, pp.76-80 https://doi.org/10.1109/24.589931
  9. Ohba, M.(1984), "Software reliability analysis models", IBM J. Research and Development, vol.28, 428-443 https://doi.org/10.1147/rd.284.0428