{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,13]],"date-time":"2026-05-13T04:38:18Z","timestamp":1778647098619,"version":"3.51.4"},"reference-count":41,"publisher":"Institute of Mathematical Statistics","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Bayesian Anal."],"published-print":{"date-parts":[[2013,9,1]]},"DOI":"10.1214\/13-ba825","type":"journal-article","created":{"date-parts":[[2013,9,9]],"date-time":"2013-09-09T12:34:18Z","timestamp":1378730058000},"source":"Crossref","is-referenced-by-count":29,"title":["Bayesian Nonparametric ROC Regression Modeling"],"prefix":"10.1214","volume":"8","author":[{"given":"Vanda","family":"In\u00e1cio de Carvalho","sequence":"first","affiliation":[]},{"given":"Alejandro","family":"Jara","sequence":"additional","affiliation":[]},{"given":"Timothy","family":"E. Hanson","sequence":"additional","affiliation":[]},{"given":"Miguel","family":"de Carvalho","sequence":"additional","affiliation":[]}],"member":"108","reference":[{"key":"31","unstructured":"R Development Core Team (2012). <i>R: A Language and Environment for Statistical Computing<\/i>. Vienna: R Foundation for Statistical Computing."},{"key":"12","unstructured":"Fan, J. and Gijbels, I. (1996). <i>Local Polynomial Modelling and Its Applications<\/i>. London: Chapman &amp; Hall."},{"key":"27","unstructured":"Neal, R. (2000). \u201cMarkov chain sampling methods for Dirichlet process mixture models.\u201d <i>Journal of Computational and Graphical Statistics<\/i>, 9: 249\u2013265."},{"key":"7","doi-asserted-by":"publisher","unstructured":"De Iorio, M., M\u00fcller, P., Rosner, G. L., and MacEachern, S. N. (2004). \u201cAn ANOVA model for dependent random measures.\u201d <i>Journal of the American Statistical Association<\/i>, 99: 205\u2013215.","DOI":"10.1198\/016214504000000205"},{"key":"36","unstructured":"Sethuraman, J. (1994). \u201cA constructive definition of Dirichlet priors.\u201d <i>Statistica Sinica<\/i>, 2: 639\u2013650."},{"key":"19","unstructured":"Jara, A. (2007). \u201cApplied Bayesian non- and semi-parametric inference using DPpackage.\u201d <i>Rnews<\/i>, 7: 17\u201326."},{"key":"6","doi-asserted-by":"publisher","unstructured":"De Iorio, M., Johnson, W. O., M\u00fcller, P., and Rosner, G. L. (2009). \u201cBayesian nonparametric non-proportional hazards survival modelling.\u201d <i>Biometrics<\/i>, 65: 762\u2013771.","DOI":"10.1111\/j.1541-0420.2008.01166.x"},{"key":"21","doi-asserted-by":"publisher","unstructured":"Jara, A., Lesaffre, E., De Iorio, M., and Quintana, F. A. (2010). \u201cBayesian semiparametric inference for multivariate doubly-interval-censored data.\u201d <i>Annals of Applied Statistics<\/i>, 4: 2126\u20132149.","DOI":"10.1214\/10-AOAS368"},{"key":"24","unstructured":"\u2014 (2000). \u201cDependent Dirichlet processes.\u201d Technical report, Department of Statistics, The Ohio State University."},{"key":"1","unstructured":"Alonzo, T. A. and Pepe, M. S. (2002). \u201cDistribution-free ROC analysis using binary regression techniques.\u201d <i>Biostatistics<\/i>, 3: 421\u2013432."},{"key":"2","doi-asserted-by":"publisher","unstructured":"Barrientos, A. F., Jara, A., and Quintana, F. (2012). \u201cOn the support of MacEachern\u2019s dependent Dirichlet processes and extensions.\u201d <i>Bayesian Analysis<\/i>, 7: 277\u2013310.","DOI":"10.1214\/12-BA709"},{"key":"3","doi-asserted-by":"publisher","unstructured":"Blackwell, D. and MacQueen, J. (1973). \u201cFerguson distributions via P\u00f3lya urn schemes.\u201d <i>The Annals of Statistics<\/i>, 1: 353\u2013355.","DOI":"10.1214\/aos\/1176342372"},{"key":"4","doi-asserted-by":"publisher","unstructured":"Branscum, A. J., Johnson, W. O., Hanson, T. E., and Gardner, I. A. (2008). \u201cBayesian semiparametric ROC curve estimation and disease diagnosis.\u201d <i>Statistics in Medicine<\/i>, 27: 2474\u20132496.","DOI":"10.1002\/sim.3250"},{"key":"5","unstructured":"Cai, T. (2004). \u201cSemiparametric ROC regression analysis with placement values.\u201d <i>Biostatistics<\/i>, 5: 45\u201360."},{"key":"8","doi-asserted-by":"publisher","unstructured":"De la Cruz, R., Quintana, F. A., and M\u00fcller, P. (2007). \u201cSemiparametric Bayesian classification with longitudinal markers.\u201d <i>Journal of the Royal Statistical Society, Ser.<\/i> C, 56(2): 119\u2013137.","DOI":"10.1111\/j.1467-9876.2007.00569.x"},{"key":"9","doi-asserted-by":"publisher","unstructured":"Dubey, S. (1970). \u201cCompound gamma, beta and F distributions.\u201d <i>Metrika<\/i>, 16: 27\u201331.","DOI":"10.1007\/BF02613934"},{"key":"10","doi-asserted-by":"publisher","unstructured":"Eilers, P. H. C. and Marx, B. D. (1996). \u201cFlexible smoothing with B-splines and penalties.\u201d <i>Statistical Science<\/i>, 11(2): 89\u2013121.","DOI":"10.1214\/ss\/1038425655"},{"key":"11","doi-asserted-by":"publisher","unstructured":"Erkanli, A., Sung, M., Costello, E. J., and Angold, A. (2006). \u201cBayesian semiparametric ROC analysis.\u201d <i>Statistics in Medicine<\/i>, 25: 3905\u20133928.","DOI":"10.1002\/sim.2496"},{"key":"13","doi-asserted-by":"publisher","unstructured":"Faraggi, D. (2003). \u201cAdjusting receiver operating characteristic curves and related indices for covariates.\u201d <i>Journal of the Royal Statistical Society, Ser.<\/i>D, 52: 1152\u20131174.","DOI":"10.1111\/1467-9884.00350"},{"key":"14","doi-asserted-by":"publisher","unstructured":"Gonz\u00e1lez-Manteiga, W., Pardo-Fernand\u00e9z, J. C., and Van Keilegom, I. (2011). \u201cROC curves in non-parametric location-scale regression models.\u201d <i>Scandinavian Journal of Statistics<\/i>, 38: 169\u2013184.","DOI":"10.1111\/j.1467-9469.2010.00693.x"},{"key":"15","doi-asserted-by":"publisher","unstructured":"Hanson, T., Branscum, A., and Gardner, I. (2008a). \u201cMultivariate mixtures of Polya trees for modelling ROC data.\u201d <i>Statistical Modelling<\/i>, 8: 81\u201396.","DOI":"10.1177\/1471082X0700800106"},{"key":"16","doi-asserted-by":"publisher","unstructured":"Hanson, T., Kottas, A., and Branscum, A. J. (2008b). \u201cModelling stochastic order in the analysis of receiver operating characteristic data: Bayesian non-parametric approaches.\u201d <i>Journal of the Royal Statistical Society, Ser.<\/i>C, 57: 207\u2013225.","DOI":"10.1111\/j.1467-9876.2007.00609.x"},{"key":"17","doi-asserted-by":"publisher","unstructured":"Hsieh, F. and Turnbull, B. (1996). \u201cNonparametric and semiparametric estimation of the receiver operating characteristic curve.\u201d <i>The Annals of Statistics<\/i>, 24: 24\u201340.","DOI":"10.1214\/aos\/1033066197"},{"key":"18","doi-asserted-by":"publisher","unstructured":"In\u00e1cio, V., Turkman, A. A., Nakas, C. T., and Alonzo, T. A. (2011). \u201cNonparametric Bayesian estimation of the three-way receiver operating characteristic surface.\u201d <i>Biometrical Journal<\/i>, 53: 1011\u20131024.","DOI":"10.1002\/bimj.201100070"},{"key":"20","unstructured":"Jara, A., Hanson, T., Quintana, F., M\u00fcller, P., and Rosner, G. L. (2011). \u201cDPpackage: Bayesian semi- and sonparametric modeling in R.\u201d <i>Journal of Statistical Software<\/i>, 40: 1\u201330."},{"key":"22","unstructured":"Lloyd, C. J. (1998). \u201cUsing smooth receiver operating characteristic curves to summarize and compare diagnostic systems.\u201d <i>Journal of the American Statistical Association<\/i>, 93: 1356\u20131364."},{"key":"23","doi-asserted-by":"publisher","unstructured":"MacEachern, S. N. (1994). \u201cEstimating normal means with a conjugate style Dirichlet process prior.\u201d <i>Communications in Statistics: Simulation and Computation<\/i>, 23: 727\u2013741.","DOI":"10.1080\/03610919408813196"},{"key":"25","unstructured":"MacEachern, S. N. and M\u00fcller, P. (1998). \u201cEstimating mixture of Dirichlet process models.\u201d <i>Journal of Computational and Graphical Statistics<\/i>, 7: 223\u2013338."},{"key":"26","doi-asserted-by":"publisher","unstructured":"Muliere, P. and Tardella, L. (1998). \u201cApproximating distributions of random functionals of Ferguson-Dirichlet priors.\u201d <i>The Canadian Journal of Statistics<\/i>, 26: 283\u2013297.","DOI":"10.2307\/3315511"},{"key":"28","doi-asserted-by":"publisher","unstructured":"Peng, L. and Zhou, X. H. (2004). \u201cLocal linear smoothing of receiver operating characteristic (ROC) curves.\u201d <i>Journal of Statistical Planning and Inference<\/i>, 118: 129\u2013143.","DOI":"10.1016\/S0378-3758(02)00394-4"},{"key":"29","unstructured":"Pepe, M. S. (1998). \u201cThree approaches to regression analysis of receiver operating characteristic curves for continuous test results.\u201d <i>Biometrics<\/i>, 54: 124\u2013135."},{"key":"30","unstructured":"\u2014 (2003). <i>The Statistical Evaluation of Medical Tests for Classification and Prediction<\/i>. New York: Oxford University Press."},{"key":"32","doi-asserted-by":"publisher","unstructured":"Richardson, S. and Green, P. J. (1997). \u201cOn Bayesian analysis of mixtures with an unknown number of components.\u201d <i>Journal of the Royal Statistical Society, Ser.<\/i>B, 59: 731\u2013792.","DOI":"10.1111\/1467-9868.00095"},{"key":"33","doi-asserted-by":"publisher","unstructured":"Rodr\u00edguez-\u00c1lvarez, M. X., Roca-Pardi\u00f1as, J., and Cadarso-Su\u00e1rez, C. (2011a). \u201cROC curve and covariates: extending the induced methodology to the non-parametric framework.\u201d <i>Statistics and Computing<\/i>, 21: 483\u2013495.","DOI":"10.1007\/s11222-010-9184-1"},{"key":"34","doi-asserted-by":"crossref","unstructured":"Rodr\u00edguez-\u00c1lvarez, M. X., Tahoces, P. C., Cadarso-Su\u00e1rez, C., and Lado, M. J. (2011b). \u201cComparative study of ROC regression techniques\u2014applications for the computer-aided diagnostic system in breast cancer detection.\u201d <i>Computational Statistics and Data Analysis<\/i>, 55: 888\u2013902.","DOI":"10.1016\/j.csda.2010.07.018"},{"key":"35","unstructured":"Sarwar, N., Gao, P., Seshasai, S. R., Gobin, R., Kaptoge, S., Di Angelantonio, E., Ingelsson, E., Lawlor, D. A., Selvin, E., Stampfer, M., Stehouwer, C. D., Lewington, S., Pennells, L., Thompson, A., Sattar, N., White, I. R., Ray, K. K., and Danesh, J. (2010). \u201cDiabetes mellitus fasting blood glucose concentration and risk of vascular disease: a collaborative meta-analysis of 102 prospective studies.\u201d <i>The Lancet<\/i>, 375: 2215\u20132222."},{"key":"37","unstructured":"Smith, P. J. and Thompson, T. J. (1996). \u201cCorrecting for confounding in analyzing receiver operating characteristic curves.\u201d <i>Biometrical Journal<\/i>, 7: 857\u2013863."},{"key":"38","unstructured":"Wild., S., Roghic, G., Green, A., Sicree, R., and King, H. (2004). \u201cGlobal prevalence of diabetes: estimates for 2000 and projection for 2030.\u201d <i>Diabetes Care<\/i>, 27: 1047\u20131053."},{"key":"39","doi-asserted-by":"publisher","unstructured":"Xu, L., Hanson, T., Bedrick, E., and Restrepo, C. (2010). \u201cHypothesis tests on mixture model components with applications in ecology and agriculture.\u201d <i>Journal of Agricultural, Biological, and Environmental Statistics<\/i>, 15: 308\u2013326.","DOI":"10.1007\/s13253-010-0020-z"},{"key":"40","unstructured":"Zhou, X. H. and Harezlak, J. (2002). \u201cComparison of bandwidth selection methods for kernel smoothing of ROC curves.\u201d <i>Statistics in Medicine<\/i>, 21: 2045\u20132055."},{"key":"41","unstructured":"Zou, K. H., Hall, W. J., and Shapiro, D. E. (1997). \u201cSmooth nonparametric receiver operating characteristic (ROC) curves for continuous diagnostic tests.\u201d <i>Statistics in Medicine<\/i>, 16: 2143\u20132156."}],"container-title":["Bayesian Analysis"],"original-title":[],"link":[{"URL":"http:\/\/projecteuclid.org\/download\/pdfview_1\/euclid.ba\/1378729922","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,16]],"date-time":"2021-04-16T03:01:15Z","timestamp":1618542075000},"score":1,"resource":{"primary":{"URL":"https:\/\/projecteuclid.org\/journals\/bayesian-analysis\/volume-8\/issue-3\/Bayesian-Nonparametric-ROC-Regression-Modeling\/10.1214\/13-BA825.full"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,9,1]]},"references-count":41,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2013,9,1]]}},"URL":"https:\/\/doi.org\/10.1214\/13-ba825","relation":{},"ISSN":["1936-0975"],"issn-type":[{"value":"1936-0975","type":"print"}],"subject":[],"published":{"date-parts":[[2013,9,1]]}}}