A vector of dirichlet processes

Electronic Journal of Statistics

Volumn 7, Issue 1, 2013, Pages 62-90

  Leisen, Fabrizio ^a   Lijoi, Antonio ^b   Spanó, Dario ^c  

^a UNIVERSIDAD CARLOS III DE MADRID   (Spain)

^b Department of Economics and Management ^*  (Italy)

^c UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

Bayesian nonparametrics; Completely random measure; Dirichlet process; L vy copula; Multivariate L vy measure; Partial exchangeability; Partition probability functio

Indexed keywords

EID: 84873814929     PISSN: 19357524     EISSN: None     Source Type: Journal    
DOI: 10.1214/12-EJS764     Document Type: Article

References (29)

1. Constantines, G.M. and Savits, T.H. (1996). A multivariate version of the Faa di Bruno formula., Trans. Amer. Math. Soc. 348, 503-520.
2. Cifarelli, D.M. and Regazzini, E. (1978). Problemi statistici non parametrici in condizioni di scambiabilità parziale., Quaderni Istituto Matematica Finanziaria, Università di Torino Serie III. English translation available at: http://www.unibocconi.it/wps/allegatiCTP/CR-Scamb-parz[1].20080528.135739.pdf
3. Cont, R. and Tankov, P. (2004)., Financial modelling with jump processes. Chapman & Hall/CRC, Boca Raton, FL.
4. Daley, D.J. and Vere-Jones, D. (2003)., An introduction to the theory of point processes. Vol. 1. Springer, New York.
5. de Finetti, B. (1938). Sur la condition de "équivalence partielle". In, Actualités Scientifique et Industrielle 739, 5-18. Hermann, Paris.
6. De Iorio, M., Müller, P., Rosner, G.L. and MacEachern, S.N. (2004). An ANOVA model for dependent random measures., J. Amer. Statist. Assoc.99, 205-215.
7. Dunson, D.B., Xue, Y. and Carin, L. (2008). The matrix stick-breaking process: flexible Bayes meta-analysis., J. Amer. Statist. Assoc. 103, 317-327.
8. Dunson, D.B. and Park, J.-H. (2008). Kernel stick-breaking processes, Biometrika 95, 307-323.
9. Epifani, I. and Lijoi, A. (2010). Nonparametric priors for vectors of survival functions., Statistica Sinica 20, 1455-1484.
10. Favaro, S., Lijoi, A. and Prünster, I. (2012). Conditional formulae for Gibbs-type exchangeable random partitions., Ann. Appl. Probab., to appear.
11. Favaro, S., Lijoi, A. and Prünster, I. (2012). A new estimator of the discovery probability., Biometrics 68, 1188-1196.
12. Griffin, J.E. and Steel, M.F.J. (2006). Order-based dependent Dirichlet processes., J. Amer. Statist. Assoc. 101, 179-194.
13. Hjort, N.L., Holmes, C.C., Müller, P. and Walker, S.G. (Eds.) (2010)., Bayesian Nonparametrics. Cambridge University Press.
14. James, L.F., Lijoi, A. and Prünster, I. (2009). Posterior analysis for normalized random measures with independent increments., Scand. J. Statist. 36, 76-97.
15. Jara, A., Hanson, T., Quintana, F.A., Müller, P. and Rosner, G. (2011). DPpackage: Bayesian non-and semi-parametric modelling in R., J. Stat. Soft. 40, 1-30.
16. Kingman, J.F.C. (1975). Random discrete distributions (with discussion)., J. Roy. Statist. Soc. Ser. B 37, 1-22.
17. Leisen, F. and Lijoi, A. (2011). Vectors of Poisson-Dirichlet processes., J. Multivariate Anal. 102, 482-495.
18. Lijoi, A., Mena, R.H. and Prünster I. (2007). Bayesian nonparametric estimation of the probability of discovering new species., Biometrika 94, 769-786.
19. Lijoi, A., Nipoti, B. and Prünster, I. (2011). Bayesian inference with dependent normalized completely random measures., Carlo Alberto Notebooks 224.
20. Lijoi, A. and Prünster, I. (2010). Beyond the Dirichlet process., Bayesian Nonparametrics (Holmes, C.C., Hjort, N.L., Müller, P. and Walker, S.G., Eds.), 80-136, Cambridge University Press, Cambridge.
21. Lo, A.Y. (1984). On a class of Bayesian nonparametric estimates. I. Density estimates., Ann. Statist. 12, 351-357.
22. MacEachern, S.N. (1999). Dependent nonparametric processes. In, ASA Proceedings of the Section on Bayesian Statistical Science, Alexandria, VA: American Statistical Association.
23. MacEachern, S.N. (2000). Dependent Dirichlet processes., Technical Report, Ohio State University.
24. Müller, P., Quintana, F. and Rosner, G. (2004). A method for combining inference across related nonparametric Bayesian models., J. R. Stat. Soc. Ser. B 66, 735-749.
25. Nelsen, R.B. (2006)., An introduction to copulas. Springer, New York.
26. Rao, V.A. and Teh, Y.W. (2009). Spatial normalized Gamma processes. In, Advances in Neural Information Processing Systems 22.
27. Regazzini, E., Lijoi, A. and Prünster, I. (2003). Distributional results for means of normalized random measures with independent increments., Ann. Statist. 31, 560-585.
28. Rodríguez, A., Dunson, D. and Gelfand, A. (2008). The nested Dirichlet process., J. Amer. Statist. Assoc. 103, 1131-1144.
29. Trippa, L. and Favaro, S. (2012). A class of normalized random measures with an exact predictive sampling scheme., Scand. J. Statist. 39, 440-460.