A Semiparametric Bayesian Model for Circular-Linear Regression

References

• Antoniak , C. E. ( 1974 ). Mixtures of Dirichlet processes with applications to Bayesian nonparametric problems . The Annals of Statistics 2 ( 6 ): 1152 – 1174 . [CSA]
   Web of Science ®Google Scholar
• Best , N. G. , Cowles , M. K. , Vines , S. K. ( 1995 ). CODA Manual Version 0.30 . Cambridge , UK : MRC Biostatistics Unit .
   Google Scholar
• Escobar , M. D. , West , M. ( 1995 ). Bayesian density estimation and inference using mixtures . Journal of the American Statistical Association 90 ( 430 ): 577 – 588 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Escobar , M. D. , West , M. (1998). Computing nonparametric hierarchical models. In: Dey , D. , Müller , P. , Sinha , D. , eds. Practical Nonparametric and Semiparametric Bayesian Statistics . Lecture Notes in Statistics. Vol. 33 . New York : Springer-Verlag, pp. 1–22.
   Google Scholar
• Ferguson , T. S. ( 1973 ). A Bayesian analysis of some nonparametric problems . The Annals of Statistics 1 ( 2 ): 209 – 230 . [CSA]
   Web of Science ®Google Scholar
• Finkelstein , P. , Ellestad , T. , Clarke , J. , Meyers , T. , Schwede , D. , Hebert , E. , Neal , J. ( 2000 ). Ozone and sulfur dioxide dry deposition to forests: Observations and model evaluation . Journal of Geophysical Research 105 ( D12 ): 15,365 – 15,378 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Fisher , N. I. ( 1993 ). Statistical Analysis of Circular Data . Cambridge : Cambridge University Press .
   Google Scholar
• Fisher , N. I. , Lee , A. J. ( 1992 ). Regression models for an angular response . Biometrics 48 : 665 – 677 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Gelfand , A. E. , Carlin , B. P. , Trevisani , M. ( 2001 ). On computation using Gibbs sampling for multilevel models . Statistica Sinica 11 ( 4 ): 981 – 1003 . [CSA]
   Web of Science ®Google Scholar
• Ghosh , K. , Jammalamadaka , S. R. , Tiwari , R. C. ( 2003 ). Semiparametric Bayesian techniques for problems in circular data . Journal of Applied Statistics 30 ( 2 ): 145 – 161 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Gould , A. L. ( 1969 ). A regression technique for angular variates . Biometrics 25 : 683 – 700 . [INFOTRIEVE] [CSA] [CROSSREF]
   PubMed Web of Science ®Google Scholar
• Heal , K. M. , Hansen , M. L. , Rickard , K. M. ( 2000 ). Maple 6 Learning Guide . Waterloo , ON , Canada : Waterloo Maple Inc .
   Google Scholar
• Johnson , R. A. , Wehrly , T. E. ( 1978 ). Some angular-linear distributions and related regression models . Journal of the American Statistical Association 73 : 602 – 606 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• MacEachern , S. N. ( 1998 ). Computational methods for mixture of Dirichlet process models . In: Dey , D. , Müller , P. , Sinha , D. , eds. Practical Nonparametric and Semiparametric Bayesian Statistics . Lecture Notes in Statistics, Vol. 133 . New York : Springer-Verlag , pp. 23 – 43 .
   Google Scholar
• MacEachern , S. N. , Müller , P. ( 1998 ). Estimating mixture of Dirichlet process models . Journal of Computational and Graphical Statistics 7 : 223 – 238 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• MacEachern , S. , Müller , P. ( 2000 ). Efficient MCMC schemes for robust model extensions using encompassing Dirichlet process mixture models . In: Rios Insua , D. , Ruggeri , F. , eds. Robust Bayesian Analysis . Lecture Notes in Statistics . Vol. 152 . New York : Springer-Verlag , pp. 295 – 315 .
   Google Scholar
• Meyers , T. , Finkelstein , P. , Clarke , J. , Ellestad , T. , Williams , P. ( 1998 ). Description and evaluation of a multi-layer model for inferring dry deposition using standard meteorological measurements . Journal of Geophysical Research 103 ( D17 ): 22,645 – 22,661 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Müller , P. , Erkanli , A. , West , M. ( 1996 ). Bayesian curve fitting using multivariate normal mixtures . Biometrika 83 : 67 – 79 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Ravindran , P. , Ghosh , S. K. ( 2002 ). Bayesian methods for circular regression using wrapped distributions . In: 2002 Proceedings of the Joint Statistical Meetings . Alexandria , VA : American Statistical Association .
   Google Scholar
• Rodrigues , J. , Leitte , J. G. , Milan , L. A. ( 2000 ). An empirical Bayes inference for the von Mises distribution . The Australian and New Zealand Journal of Statistics 42 ( 4 ): 433 – 440 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• SAS . ( 1990a ). IML User's Guide, Version 8 . Cary , NC : SAS Institute, Inc .
   Google Scholar
• SAS . ( 1990b ). SAS Language: Reference . Cary , NC : SAS Institute, Inc .
   Google Scholar
• SAS . ( 1990c ). SAS/GRAPH Software Reference, Version 8 . Cary , N C : SAS Institute, Inc .
   Google Scholar
• S-Plus . ( 2000 ). S-Plus (version 6) . Insightful Corporation, http://www.insightful.com .
   Google Scholar