R. D. Luce, Individual choice behavior: A theoretical analysis, 1959.
DOI : 10.1037/14396-000

R. Plackett, The Analysis of Permutations, Applied Statistics, vol.24, issue.2, pp.193-202, 1975.
DOI : 10.2307/2346567

R. D. Luce, The choice axiom after twenty years, Journal of Mathematical Psychology, vol.15, issue.3, pp.215-233, 1977.
DOI : 10.1016/0022-2496(77)90032-3

D. R. Hunter, MM algorithms for generalized Bradley-Terry models. The Annals of Statistics, pp.384-406, 2004.

I. C. Gormley and T. B. Murphy, Exploring Voting Blocs Within the Irish Electorate, Journal of the American Statistical Association, vol.103, issue.483, pp.1014-1027, 2008.
DOI : 10.1198/016214507000001049

P. Diaconis, Group representations in probability and statistics, IMS Lecture Notes, Institute of Mathematical Statistics, vol.11, 1988.

I. C. Gormley and T. B. Murphy, A grade of membership model for rank data, Bayesian Analysis, vol.4, issue.2, pp.265-296, 2009.
DOI : 10.1214/09-BA410

J. Guiver and E. Snelson, Bayesian inference for Plackett-Luce ranking models, Proceedings of the 26th Annual International Conference on Machine Learning, ICML '09, 2009.
DOI : 10.1145/1553374.1553423

F. Caron and A. Doucet, Efficient Bayesian Inference for Generalized Bradley???Terry Models, Journal of Computational and Graphical Statistics, vol.36, issue.1, pp.174-196, 2012.
DOI : 10.1007/BF01180541
URL : https://hal.archives-ouvertes.fr/inria-00533638

G. P. Patil and C. Taillie, Diversity as a concept and its implications for random communities, Bulletin of the International Statistical Institute, vol.47, pp.497-515, 1977.

J. Pitman, Combinatorial stochastic processes Ecole d'´ eté de Probabilités de Saint-Flour XXXII - 2002, Lecture Notes in Mathematics, vol.1875, 2006.

J. F. Kingman, Completely random measures, Pacific Journal of Mathematics, vol.21, issue.1, pp.59-78, 1967.
DOI : 10.2140/pjm.1967.21.59

M. K. Pitt and S. G. Walker, Constructing Stationary Time Series Models Using Auxiliary Variables With Applications, Journal of the American Statistical Association, vol.100, issue.470, pp.554-564, 2005.
DOI : 10.1198/016214504000001970

S. Watanabe, A limit theorem of branching processes and continuous state branching processes, Journal of Mathematics of Kyoto University, vol.8, issue.1, pp.141-167, 1968.
DOI : 10.1215/kjm/1250524180

D. A. Dawson, Stochastic evolution equations and related measure processes, Journal of Multivariate Analysis, vol.5, issue.1, pp.1-52, 1975.
DOI : 10.1016/0047-259X(75)90054-8

S. N. Ethier and R. Griffiths, The transition function of a measure-valued branching diffusion with immigration. Stochastic Processes. A Festschrift in Honour, p.7179, 1993.

R. H. Mena and S. G. Walker, On a construction of Markov models in continuous time, Metron- International Journal of Statistics, vol.67, issue.3, pp.303-323, 2009.

S. Feng, Poisson-Dirichlet Distribution and Related Topics, 2010.
DOI : 10.1007/978-3-642-11194-5

J. C. Cox, J. E. Ingersoll-jr, and S. A. Ross, A theory of the term structure of interest rates, Econometrica: Journal of the Econometric Society, pp.385-407, 1985.

S. N. Ethier and R. C. Griffiths, The Transition Function of a Measure-Valued Branching Diffusion with Immigration, Stochastic Processes, 1993.
DOI : 10.1007/978-1-4615-7909-0_9

L. F. James, A. Lijoi, and I. Prünster, Posterior Analysis for Normalized Random Measures with Independent Increments, Scandinavian Journal of Statistics, vol.85, issue.1, pp.76-97, 2009.
DOI : 10.1111/j.1467-9469.2008.00609.x

J. E. Griffin and S. G. Walker, Posterior Simulation of Normalized Random Measure Mixtures, Journal of Computational and Graphical Statistics, vol.20, issue.1, pp.241-259, 2011.
DOI : 10.1198/jcgs.2010.08176

S. Favaro and Y. W. Teh, MCMC for Normalized Random Measure Mixture Models, Statistical Science, vol.28, issue.3, 2012.
DOI : 10.1214/13-STS422

J. E. Griffin, The Ornstein???Uhlenbeck Dirichlet process and other time-varying processes for Bayesian nonparametric inference, Journal of Statistical Planning and Inference, vol.141, issue.11, pp.3648-3664, 2011.
DOI : 10.1016/j.jspi.2011.05.019

. For-t-=-1, T , update (w t , w t * ) given (c t?1

. For-t-=-1, T , update Z t given (w t

. ?poisson, The weights (w t , w t * ) are then appropriately rescaled