\begin{thebibliography}{10} \bibitem{Luce1959} R.D. Luce. \newblock {\em Individual choice behavior: A theoretical analysis}. \newblock Wiley, 1959. \bibitem{Plackett1975} R.~Plackett. \newblock The analysis of permutations. \newblock {\em Applied Statistics}, 24:193--202, 1975. \bibitem{Luce1977} R.D. Luce. \newblock The choice axiom after twenty years. \newblock {\em Journal of Mathematical Psychology}, 15:215--233, 1977. \bibitem{Hunter2004} D.R. Hunter. \newblock {MM} algorithms for generalized {B}radley-{T}erry models. \newblock {\em The Annals of Statistics}, 32:384--406, 2004. \bibitem{Gormley2008a} I.C. Gormley and T.B. Murphy. \newblock Exploring voting blocs with the {I}rish electorate: a mixture modeling approach. \newblock {\em Journal of the American Statistical Association}, 103:1014--1027, 2008. \bibitem{Diaconis1988} P.~Diaconis. \newblock {\em Group representations in probability and statistics, IMS Lecture Notes}, volume~11. \newblock Institute of Mathematical Statistics, 1988. \bibitem{Gormley2009} I.C. Gormley and T.B. Murphy. \newblock A grade of membership model for rank data. \newblock {\em Bayesian Analysis}, 4:265--296, 2009. \bibitem{Guiver2009} J.~Guiver and E.~Snelson. \newblock {B}ayesian inference for {P}lackett-{L}uce ranking models. \newblock In {\em International Conference on Machine Learning}, 2009. \bibitem{Caron2012} F.~Caron and A.~Doucet. \newblock Efficient {B}ayesian inference for generalized {Bradley-Terry} models. \newblock {\em Journal of Computational and Graphical Statistics}, 21(1):174--196, 2012. \bibitem{PatTai1977a} G.P. Patil and C.~Taillie. \newblock Diversity as a concept and its implications for random communities. \newblock {\em Bulletin of the International Statistical Institute}, 47:497--515, 1977. \bibitem{Pitman2006} J.~Pitman. \newblock {\em Combinatorial stochastic processes. Ecole d'\'et\'e de Probabilit\'es de Saint-Flour XXXII - 2002}, volume 1875 of {\em Lecture Notes in Mathematics}. \newblock Springer, 2006. \bibitem{Kin1967a} J.~F.~C. Kingman. \newblock Completely random measures. \newblock {\em Pacific Journal of Mathematics}, 21(1):59--78, 1967. \bibitem{Pitt2005} M.K. Pitt and S.G. Walker. \newblock Constructing stationary time series models using auxiliary variables with applications. \newblock {\em Journal of the American Statistical Association}, 100(470):554--564, 2005. \bibitem{Wat1968a} S.~Watanabe. \newblock A limit theorem of branching processes and continuous state branching processes. \newblock {\em Journal of Mathematics of Kyoto University}, 8:141--167, 1968. \bibitem{Daw1975a} D.~A. Dawson. \newblock Stochastic evolution equations and related measure processes. \newblock {\em Journal of Multivariate Analysis}, 5:1--52, 1975. \bibitem{ETHIER1993} S.N. Ethier and RC~Griffiths. \newblock The transition function of a measure-valued branching diffusion with immigration. \newblock {\em Stochastic Processes. A Festschrift in Honour of Gopinath Kallianpur (S. Cambanis, J. Ghosh, RL Karandikar and PK Sen, eds.)}, 71:79, 1993. \bibitem{Mena2009} R.H. Mena and S.G. Walker. \newblock On a construction of {M}arkov models in continuous time. \newblock {\em Metron-International Journal of Statistics}, 67(3):303--323, 2009. \bibitem{Fen2010a} S.~Feng. \newblock {\em {P}oisson-{D}irichlet Distribution and Related Topics}. \newblock Springer, 2010. \bibitem{Cox1985} J.C. Cox, J.E. Ingersoll~Jr, and S.A. Ross. \newblock A theory of the term structure of interest rates. \newblock {\em Econometrica: Journal of the Econometric Society}, pages 385--407, 1985. \bibitem{EthGri1993a} S.~N. Ethier and R.~C. Griffiths. \newblock The transition function of a measure-valued branching diffusion with immigration. \newblock {\em Stochastic Processes}, 1993. \bibitem{James2009} L.F. James, A.~Lijoi, and I.~Pr{\"u}nster. \newblock Posterior analysis for normalized random measures with independent increments. \newblock {\em Scandinavian Journal of Statistics}, 36(1):76--97, 2009. \bibitem{Griffin2011} J.E. Griffin and S.G. Walker. \newblock Posterior simulation of normalized random measure mixtures. \newblock {\em Journal of Computational and Graphical Statistics}, 20(1):241--259, 2011. \bibitem{Favaro2012} S.~Favaro and Y.W. Teh. \newblock {MCMC} for normalized random measure mixture models. \newblock Technical report, University of Turin, 2012. \bibitem{Gri2011a} J.~E. Griffin. \newblock The {O}rnstein-{U}hlenbeck {D}irichlet process and other time-varying processes for {B}ayesian nonparametric inference. \newblock {\em Journal of Statistical Planning and Inference}, 141:3648--3664, 2011. \end{thebibliography}