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Nonparametric Bayesian estimation of a bivariate density with interval censored data |
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| Authors: | Mingan Yang Timothy Hanson |
| Affiliation: | a Biostatistics Branch, National Institute of Environmental Health Sciences, MD A3-03, PO Box 12233, Research Triangle Park, NC 27709, USA b Division of Biostatistics, School of Public Health, University of Minnesota, Minneapolis 55455, USA c Department of Mathematics and Statistics, University of New Mexico, Albuquerque 87131, USA |
| Abstract: | Mixture of Polya trees nonparametric estimation of a bivariate density is presented for interval censored data. Real and simulated data are analyzed and compared with nonparametric maximum likelihood (NPMLE) and Bayesian G-spline estimates. An advantage of the mixture of Polya trees approach over the NPMLE is the relative ease with which continuous bivariate density and hazard plots are obtained. |
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