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Applications and Case Studies

Marginal Bayesian Semiparametric Modeling of Mismeasured Multivariate Interval-Censored Data

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Pages 129-145 | Received 01 Apr 2016, Published online: 26 Oct 2018

References

  • Christensen, R., Hanson, T., and Jara, A. (2008), “Parametric Nonparametric Statistics: An Introduction to Mixtures of Finite Polya Trees,” The American Statistician, 62, 296–306.
  • Cox, D. R. (1972), “Regression Models and Life-Tables” (with discussion), Journal of the Royal Statistical Society, Series B, 34, 187–220.
  • Fabius, J. (1964), “Asymptotic Behavior of Bayes’ Estimates,” The Annals of Mathematical Statistics, 35, 846–856.
  • Ferguson, T. S. (1974), “Prior Distribution on the Spaces of Probability Measures,” Annals of Statistics, 2, 615–629.
  • Freedman, D. (1963), “On the Asymptotic Distribution of Bayes’ Estimates in the Discrete Case,” Annals of Mathematical Statistics, 34, 1386–1403.
  • García-Zattera, M. J., Jara, A., and Komarek, A. (2016), “A Flexible AFT Model for Misclassified Clustered Interval-Censored Data,” Biometrics, 72, 473–483.
  • García-Zattera, M. J., Jara, A., Lesaffre, E., and Marshall, G. (2012), “Modeling of Multivariate Monotone Disease Processes in the Presence of Misclassification,” Journal of the American Statistical Association, 107, 976–989.
  • García-Zattera, M. J., Mutsvari, T., Jara, A., Declerk, D., and Lesaffre, E. (2010), “Correcting for Misclassification for a Monotone Disease Process With an Application in Dental Research,” Statistics in Medicine, 29, 3103–3117.
  • Geisser, S., and Eddy, W. (1979), “A Predictive Approach to Model Selection,” Journal of the American Statistical Association, 74, 153–160.
  • Gelfand, A. E., and Dey, D. (1994), “Bayesian Model Choice: Asymptotics and Exact Calculations,” Journal of the Royal Statistical Society, Series B, 56, 501–514.
  • Gelfand, A. E., and Mallick, B. K. (1995), “Bayesian Analysis of Proportional Hazards Models Built From Monotone Functions,” Biometrics, 51, 843–852.
  • Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., and Rubin, D. B. (2014), Bayesian Data Analysis (2nd ed.), Boca Raton, FL: CRC Press.
  • Gong, G., Whittemore, A. S., and Grosser, S. (1990), “Censored Survival Data With Misclassified Covariates: A Case Study of Breast-Cancer Mortality,” Journal of the American Statistical Association, 85, 20–28.
  • Haario, H., Saksman, E., and Tamminen, J. (2001), “An Adaptive Metropolis Algorithm,” Bernoulli, 7, 223–242.
  • Hanson, T. (2006), “Inference for Mixtures of Finite Polya Tree Models,” Journal of the American Statistical Association, 101, 1548–1565.
  • Hanson, T., and Johnson, W. O. (2002), “Modeling Regression Error With a Mixture of Polya Trees,” Journal of the American Statistical Association, 97, 1020–1033.
  • ——— (2004), “A Bayesian Semiparametric AFT Model for Interval-Censored Data,” Journal of Computational and Graphical Statistics, 13, 341–361.
  • Hanson, T., and Yang, M. (2007), “Bayesian Semiparametric Proportional Odds Models,” Biometrics, 63, 88–95.
  • Hanson, T. E., Branscum, A., and Johnson, W. O. (2011), “Predictive Comparison of Joint Longitudinal–Survival Modeling: A Case Study Illustrating Competing Approaches,” Lifetime Data Analysis, 17, 3–28.
  • Hennerfeind, A., Brezger, A., and Fahrmier, L. (2006), “Geoadditive Survival Models,” Journal of the American Statistical Association, 1, 1065–1075.
  • Hjort, N. L. (1990), “Nonparametric Bayes Estimators Based on Beta Processes in Models for Life History Data,” The Annals of Statistics, 18, 1259–1294.
  • Hougaard, P. (2000), Analysis of Multivariate Survival Data, New York: Springer.
  • Ibrahim, J. G., Chen, M.-H., and Sinha, D. (2001), Bayesian Survival Analysis, New York: Springer.
  • Imai, K., and van Dyk, D. (2005), “A Bayesian Analysis of the Multinomial Probit Model using Marginal Data Augmentation,” Journal of the American Statistical Association, 124, 311–334.
  • Jara, A., and Hanson, T. (2011), “A Class of Mixtures of Dependent Tail-Free Processes,” Biometrika, 98, 553–566.
  • Jara, A., Lesaffre, E., De Iorio, M., and Quintana, F. A. (2010), “Bayesian Semiparametric Inference for Multivariate Doubly-Interval-Censored Data,” The Annals of Applied Statistics, 4, 2126–2149.
  • Kalbfleisch, J. D. (1978), “Nonparametric Bayesian Analysis of Survival Time Data,” Journal of the Royal Statistical Society, Series B, 40, 214–221.
  • Lavine, M. (1992), “Some Aspects of Polya Tree Distributions for Statistical Modeling,” The Annals of Statistics, 20, 1222–1235.
  • ——— (1994), “More Aspects of Polya Tree Distributions for Statistical Modeling,” The Annals of Statistics, 22, 1161–1176.
  • Li, L., Hanson, T., and Zhang, J. (2015), “Spatial Extended Hazard Model With Application to Prostate Cancer Survival,” Biometrics, 71, 313–322.
  • Lin, D. Y., and Ying, Z. (1994), “Semiparametric Analysis of the Additive Risk Model,” Biometrika, 81, 61–71.
  • Liu, J. S., and Wu, Y. (1999), “Parameter Expansion for Data Augmentation,” Journal of the American Statistical Association, 94, 1264–1274.
  • Luan, X., Pan, W., Gerberich, S., and Carlin, B. (2015), “Does It Always Help to Adjust for Misclassification of a Binary Outcome in Logistic Regression?” Statistics in Medicine, 24, 2221–2234.
  • McKeown, K., and Jewell, N. P. (2010), “Misclassification of Current Status Data,” Lifetime Data Analysis, 16, 215–230.
  • Müller, P., Quintana, F. A., Jara, A., and Hanson, T. E. (2015), Bayesian Nonparametric Data Analysis, New York: Springer.
  • Pitts, N. B., Evans, D. J., and Pine, C. M. (1997), “British Association for the Study of Community Dentistry (BASCD) Diagnostic Criteria for Caries Prevalence Surveys-1996/97,” Community Dental Health, 14, 6–9.
  • Sinha, D., and Dey, D. K. (1997), “Semiparametric Bayesian Analysis of Survival Data,” Journal of the American Statistical Association, 92, 1195–1212.
  • Sklar, A. (1959), “Fonctions de répartition à n Dimensions et leurs Marges,” Publications de lInstitut de Statistique de LUniversité de Paris, 8, 229–231.
  • Tierney, L. (1994), “Markov Chains for Exploring Posterior Distributions,” The Annals of Statistics, 22, 1701–1762.
  • van Dyk, D., and Meng, X. (2001), “The Art of Data Augmentation,” Journal of Computational and Graphical Statistics, 1, 1–50.
  • Vanobbergen, J., Martens, L., Lesaffre, E., and Declerck, D. (2000), “The Signal Tandmobiel Project, a Longitudinal Intervention Health Promotion Study in Flanders (Belgium): Baseline and First Year Results,” European Journal of Paediatric Dentistry, 2, 87–96.
  • Zhao, L., Hanson, T., and Carlin, B. P. (2009), “Flexible Spatial Frailty Modeling via Mixtures of Polya Trees,” Biometrika, 96, 263–276.

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