Nonparametric Bayesian Statistical Models in Biomedical Research
![]() |
Noh, Heesang
(Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology)
Park, Jinsu (Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology) Sim, Gyuseok (Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology) Yu, Jae-Eun (Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology) Chung, Yeonseung (Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology) |
1 | Liu, Q., Lin, K. K., Andersen, B., Smyth, P., and Ihler, A. (2010). Estimating replicate time shifts using Gaussian process regression, Bioinformatics, 26, 770-776. DOI |
2 | Longnecker, M. P., Klebanoff, M. A., Zhou, H. and Brock, J. W. (2001). Association between maternal serum concentration of the DDT metabolite DDE and preterm and small-for-gestational-age babies at birth, Lancet, 358, 110-114. DOI ScienceOn |
3 | MacEachern, S. (1994). Estimating normal means with a conjugate style Dirichlet process prior, Communications in Statistics: Simulation and Computation, 23, 727-741. DOI ScienceOn |
4 | MacEachern, S. (1999). Dependent nonparametric processes, in ASA Proceedings of the Section on Bayesian Statistical Science, American Statistical Association. |
5 | Mukhopadhyay, S. and Gelfand, A. (1997). Dirichlet process mixed generalized linear models, Journal of the American Statistical Association, 92, 633-639. DOI |
6 | Guglielm, A., Ruggeri, F. and Soriano, J. (2014). Semiparametric Bayesian models for clustering and classification in the presence of unbalanced in-hospital survival, Journal of the Royal Statistical Society, Series C, 63, 25-46. DOI |
7 | Escobar, M. D., (1994). Estimating normal means with a Dirichlet process prior, Journals of the American Statistical Association, 89, 268-277. DOI |
8 | Ferguson, T. S. (1973). A Bayesian analysis of some nonparametric problems, The Annals of Statistics, 1, 209-230. DOI ScienceOn |
9 | Ferguson, T. S. (1974). Prior distributions on spaces of probability measures, The Annals of Statistics, 2, 615-629. DOI |
10 | Guindani, M., Sepulveda, N., Paulino, C. D. and Muller, P. (2012). A Bayesian Semi-parametric approach for the differential analysis of sequence counts data, Technical report, M. D. Anderson Cancer Center. |
11 | Hanson, T. E. and Johnson, W. O. (2002). Modeling regression error with a mixture of Polya trees, Journal of the American Statistical Association, 97, 1020-1033. DOI |
12 | Hartigan, J. A. (1990). Partition models, Communications in Statistics: Theory and Methods, 19, 2745-2756. DOI |
13 | Ishwaran, H. and James, L. F. (2001). Gibbs sampling methods for stick-breaking priors, Journal of the American Statistical Association, 96, 161-173. DOI ScienceOn |
14 | Ji, Y., Yin, G., Tsui, K. W., Kolonin, M. G., Sun, J., Arap, W., Pasqualini, R. and Do, K. A. (2007). Bayesian mixture models for complex high dimensional count data in phage display experiments, Journal of the Royal Statistical Society, Series C: Applied Statistics, 56, 139-152. DOI |
15 | De Iorio, M., Johnson, W. O., Muller, P. and Rosner, G. L. (2009). Bayesian nonparametric non-proportional hazards survival modeling, Biometrics, 65, 762-771. DOI |
16 | Blackwell, D. and MacQueen, J. B. (1973). Ferguson distributions via Polya urn schemes, Annals of Statistics, 1, 353-355. DOI |
17 | Blei, D. M., Ng, A. Y. and Jordan, M. I. (2003). Latent Dirichlet allocation, |
18 | Brown, E. R., Ibrahim, J. G. and DeGruttola, V. (2005). A flexible B-spline model for multiple longitudinal Biomarkers and survival, Biometrics, 61, 64-73. DOI |
19 | Dahl, D. B. (2006). Model-based clustering for expression data via a Dirichlet process mixture model, In Vannucci, M., Do, K. A. and Muller, P. (eds.), Bayesian Inference for Gene Expression and Proteomics, Cambridge University Press. |
20 | De Iorio, M., Muller, P., Rosner, G. L. and MacEachern, S. N. (2004). An ANOVA model for dependent random measures, Journal of the American Statistical Association, 99, 205-215. DOI |
21 | De la Cruz, R., Quintana, F. A. and Muller, P. (2007). Semiparametric Bayesian classification with longitudinal markers, Applied Statistics, 56, 119-137. |
22 | Dunson, D. B. and Park, J. H. (2008). Kernel stick-breaking processes, Biometrika, 95, 307-323. DOI |
23 | Dunson, D. B., Pillai, N. and Park, J. H. (2007). Bayesian density regression, Journal of the Royal Statistical Society, Series B, 69, 163-183. DOI |
24 | Dunson, D. B. (2010). Nonparametric Bayes applications to Biostatistics. Bayesian Nonparametrics, Chapter 7, Cambridge University Press. |
25 | Rice, J. A. and Wu, C. O. (2001). Nonparametric mixed effects models for unequally sampled noisy curves, Biometrics, 57, 253-259. DOI |
26 | Bush, C. A. and MacEachern, S. N. (1996). A semiparametric Bayesian model for randomized block designs, Biometrika, 83, 275-285. DOI |
27 | Baladandayuthapani, V., Mallick, B. K. and Carroll, R. J. (2005). Spatially adaptive Bayesian penalized regression splines(P-splines), Journal of Computational and Graphical Statistics, 14, 378-394. DOI |
28 | Barnes, T. G., Jefferys, W. H., Berger, J. O., Muller, P., Orr, K. and Rodriguez, R. (2003). A Bayesian analysis of the Cepheid distance scale, The Astrophysical Journal, 592, 539. DOI |
29 | Zellner, A. (1986). On assessing prior distributions and Bayesian regression analysis with g-prior distributions, In Bayesian Inference and Decision Techniques: Essays in Honor of Bruno de Finetti, (eds. P. K. Goel and A. Zellner), 233-243, North-Holland/Elsevier. |
30 | Muller, P. and Rosner, G. (1997). A Bayesian population model with hierarchical mixture priors applied to blood count data, Journal of the American Statistical Association, 92, 633-639. DOI |
31 | Muller, P., Quintana, F. and Rosner, G. (2007). Semiparametric Bayesian inference for multilevel repeated measurement data, Biometrics, 63, 280-289. DOI |
32 | Muller, P., Quintana, F. and Rosner, G. L. (2011). A product partition model with regression on covariates, Journal of Computational and Graphical Statistics, 20, 260-278. DOI |
33 | Quintana, F. A. (2006). A predictive view of Bayesian clustering, Journal of Statistical Planning and In- ference, 136, 2407-2429. DOI |
34 | Rodriguez, A., Dunson, D. B. and Gelfand, A. E. (2008). The nested Dirichlet process, Journal of the American Statistical Association, 103, 1131-1154. DOI |
35 | Vidakovic, B. (1998). Nonlinear wavelet shrinkage with Bayes rules and Bayes factors, Journal of the American Statistical Association, 93, 173-179. DOI |
36 | Rodriguez, A. and Dunson, D. B. (2011). Nonparametric Bayesian models through probit stick-breaking processes, Bayesian Analysis, 6, 145-178. DOI |
37 | Sethuraman, J. (1994). A constructive definition of Dirichlet priors, Statistica Sinica, 4, 639-650. |
38 | Teh, Y. W., Jordan, M. I., Beal, M. J., & Blei, D. M. (2006). Hierarchical Dirichlet processes, Journal of the American statistical association, 101, 1566-1581. DOI |
39 | Walker, S. and Mallick, B. (1997). Hierarchical generalized linear models and frailty models with Bayesian nonparametric mixing, Journal of the Royal Statistical Society, 59, 845-860. DOI |
40 | Kleinman, K. and Ibrahim, J. (1998a). A Semi-parametric Bayesian approach to the random effects model, Biometrics, 54, 921-938. DOI |
41 | Kleinman, K. and Ibrahim, J. (1998b). A Semi-parametric Bayesian approach to generalized linear mixed models, Statistics in Medicine, 17, 2579-2596. DOI |
42 | Kormaksson, M., Booth, J. G., Figueroa, M. E. and Melnick, A. (2012). Integrative model-based clustering of microarray methylation and expression data., Annals of Applied Statistics, 6, 1327-1347. DOI |
43 | Kundu, S. and Dunson, D. B. (2014). Bayes variable selection in semiparametric linear models, Journal of the American Statistical Association, 109, 437-447. DOI |
44 | Leon-Novelo, L. G., Muller, P., Arap, W., Kolonin, M. Sun, J., Pasqualini, R. and Do, K. A. (2013). Semiparametric Bayesian inference for phage display data, Biometrics, 69, 174-183. DOI |
45 | Muller, P., Erkanli, A. and West, M. (1996). Bayesian curve fitting using multivariate normal mixtures, Biometrika, 83, 67-79. DOI |
![]() |