Bayesian Analysis of the Sequential Inspection Plan via the Gibbs Sampler

Published Online:https://doi.org/10.1287/opre.1070.0501

References

  • Basu S., Ebrahimi N. Bayesian capture-recapture methods for error detection and estimation of population size: Heterogeneity and dependence. Biometrika (2001) 88(1):269–279CrossrefGoogle Scholar
  • Berger J. O.Statistical Decision Theory and Bayesian Analysis (1985) 2nd ed.(Springer-Verlag, New York) 90–134CrossrefGoogle Scholar
  • Bergman B., Xie M. On Bayesian software reliability modeling. J. Statist. Planning and Inference (1991) 29:33–41CrossrefGoogle Scholar
  • Bonett D. G. Estimating the number of defects under imperfect inspection. J. Appl. Statist. (1988) 15:63–67CrossrefGoogle Scholar
  • Bonett D. G., Woodward J. A. Sequential defect removal sampling. Management Sci. (1994) 40(7):898–902LinkGoogle Scholar
  • Bonett D. G., Woodward J. A., Bentler P. M. A linear model for estimating the size of a closed population. British J. Math. Statist. Psych. (1986) 39:28–40CrossrefGoogle Scholar
  • Briand L. C., El Emam K., Freimut B. G., Laitenberger O. A comprehensive evaluation of capture-recapture models for estimating software defect content. IEEE Trans. Software Engrg. (2000) 26(6):518–540CrossrefGoogle Scholar
  • Castledine B. J. A Bayesian analysis of multiple-recapture sampling for a closed population. Biometrika (1981) 67:197–210CrossrefGoogle Scholar
  • Chun Y. H. Serial inspection plan in the presence of inspection errors: Maximum likelihood and maximum entropy approaches. Quality Engrg. (2005) 17(4):627–632CrossrefGoogle Scholar
  • Diebolt J., Robert C. P. Estimation of finite mixture distributions through Bayesian sampling. J. Roy. Statist. Soc. Ser. B (1994) 56(2):363–375Google Scholar
  • Drury C. G., Karwan M. H., Vanderwarker D. R. The two-inspector problem. IIE Trans. (1986) 18:174–181CrossrefGoogle Scholar
  • El Emam K., Laitenberger O. Evaluating capture-recapture models with two inspections. IEEE Trans. Software Engrg. (2001) 27(9):851–864CrossrefGoogle Scholar
  • Gelman A., Carlin J. B., Stern H. S., Rubin D. B.Bayesian Data Analysis (2004) 2nd ed.(Chapman & Hall, New York) 63Google Scholar
  • George E. I., Robert C. P. Capture-recapture estimation via Gibbs sampling. Biometrika (1992) 79(4):677–683Google Scholar
  • Greenberg B. S., Stokes S. L. Repetitive testing in the presence of inspection errors. Technometrics (1995) 37(1):102–111CrossrefGoogle Scholar
  • Jewell W. S. Bayesian estimation of undetected errors. Bayesian Statist. (1985a) 2:663–672Google Scholar
  • Jewell W. S. Bayesian extensions to a basic model of software reliability. IEEE Trans. Software Engrg. (1985b) 11(12):1465–1471CrossrefGoogle Scholar
  • Johnson N. L., Kotz S., Balakrishnan N.Discrete Multivariate Distributions (1997) (Wiley and Sons, New York) 31–93Google Scholar
  • Kuo L., Yang T. Y. Bayesian computation for non-homogeneous Poisson processes in software reliability. J. Amer. Statist. Assoc. (1996) 91(434):763–773CrossrefGoogle Scholar
  • Pollock K. H. Modeling capture, recapture, and removal statistics for estimation of demographic parameters for fish and wildlife populations: Past, present, and future. J. Amer. Statist. Assoc. (1991) 86:225–238Google Scholar
  • Press S. J.Subjective and Objective Bayesian Statistics: Principles, Models, and Applications (2003) (Wiley and Sons, New York) 70–116Google Scholar
  • Rallis N. E., Lansdowne Z. F. Reliability estimation for a software system with sequential independent reviews. IEEE Trans. Software Engrg. (2001) 27:1057–1061CrossrefGoogle Scholar
  • Raz T., Bricker D. Sequencing of inspection operations subject to errors. Eur. J. Oper. Res. (1993) 68:251–264CrossrefGoogle Scholar
  • Seber G. A review of estimating animal abundance. Biometrics (1986) 42:267–292CrossrefGoogle Scholar
  • Wetherill G. B., Chiu W. K. A review of acceptance sampling schemes with emphasis on the economic aspect. Internat. Statist. Rev. (1975) 43(2):191–210CrossrefGoogle Scholar
  • Zhu M., Lu A. Y. The counter-intuitive noninformative prior for the Bernoulli family. J. Statist. Ed. (2004) 12(2):1–10Google Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.