A. Labadi, L. Zarepour, and M. , On simulations from the two-parameter poisson-dirichlet process and the normalized inverse-gaussian process, Sankhya, pp.76-158, 2014.

F. Bassetti, R. Casarin, and F. Leisen, Beta-product dependent pitman-yor processes for bayesian inference, Journal of Econometrics, vol.180, issue.1, pp.49-72, 2014.
DOI : 10.2139/ssrn.2290959

A. Canale, A. Lijoi, B. Nipoti, and I. Prünster, On the Pitman-Yor process with spike and slab base measure, Biometrika, vol.104, pp.681-697, 2017.

F. Caron, W. Neiswanger, F. Wood, A. Doucet, D. et al., Generalized pólya urn for time-varying pitman-yor processes, Journal of Machine Learning Research, vol.18, issue.27, pp.1-32, 2017.

L. Devroye, Random variate generation for exponentially and polynomially tilted stable distributions, ACM Transactions on Modeling and Computer Simulation (TOMACS), vol.19, issue.4, 2009.
DOI : 10.1145/1596519.1596523
URL : http://cg.scs.carleton.ca/~luc/tiltedstable.pdf

S. Favaro, A. Lijoi, R. Mena, and I. Prünster, Bayesian non-parametric inference for species variety with a two-parameter Poisson-Dirichlet process prior, J. R. Stat. Soc. Ser. B, vol.71, pp.993-1008, 2009.

T. S. Ferguson, A Bayesian analysis of some nonparametric problems, Ann. Statist, vol.1, pp.209-230, 1973.
DOI : 10.1214/aos/1176342360
URL : https://doi.org/10.1214/aos/1176342360

A. Gelfand and A. Kottas, A computational approach for full nonparametric Bayesian inference under Dirichlet process mixture models, J. Comput. Graph. Statist, vol.11, pp.289-305, 2002.
DOI : 10.1198/106186002760180518
URL : http://www.cs.berkeley.edu/~jordan/sail/readings/archive/gelfand_kottas.pdf

S. Ghosal and A. W. Van-der-vaart, Foundamentals of Nonparametric Bayesian Inference. Cambridge Series in Statistical and Probabilistic Mathematics, 2017.

A. Gnedin, The Bernoulli sieve. Bernoulli, vol.10, pp.79-96, 2004.
DOI : 10.3150/bj/1077544604
URL : https://hal.archives-ouvertes.fr/hal-01185568

A. Gnedin, Regeneration in random combinatorial structures. Probability Surveys, vol.7, pp.105-156, 2010.
DOI : 10.1214/10-ps163
URL : https://doi.org/10.1214/10-ps163

A. Gnedin, B. Hansen, and J. Pitman, Notes on the occupancy problem with infinitely many boxes: general asymptotics and power laws, Probability Surveys, vol.4, pp.146-171, 2007.
DOI : 10.1214/07-ps092
URL : https://doi.org/10.1214/07-ps092

A. Gnedin, A. M. Iksanov, N. Pavlo, U. , and R. , The Bernoulli sieve revisited, The Annals of Applied Probability, vol.19, pp.1634-1655, 2009.
DOI : 10.1214/08-aap592
URL : https://doi.org/10.1214/08-aap592

J. Grandell, Mixed Poisson Processes. Monographs on Statistics and Applied Probability, 1997.
DOI : 10.1007/978-1-4899-3117-7

A. Gut, Probability : a graduate course. Springer texts in statistics, 2013.

H. Ishwaran and L. F. James, Gibbs sampling methods for stick-breaking priors, J. Amer. Statist. Assoc, vol.96, pp.161-173, 2001.

H. Ishwaran and M. Zarepour, Exact and approximate sum representations for the Dirichlet process, Canad. J. Statist, vol.30, pp.269-283, 2002.

L. F. James, A. Lijoi, and I. Prünster, On the posterior distribution of classes of random means, Bernoulli, vol.16, issue.1, pp.155-180, 2010.

A. Jara, Applied Bayesian non-and semi-parametric inference using, DPpackage. Rnews, vol.7, pp.17-26, 2007.

A. Jara, T. E. Hanson, F. A. Quintana, P. Müller, and G. L. Rosner, DPpackage: Bayesian semi-and nonparametric modeling in R, Journal of Statistical Software, vol.40, issue.5, pp.1-30, 2011.

A. Jara, E. Lesaffre, M. De-iorio, Q. , and F. , Bayesian semiparametric inference for multivariate doubly-interval-censored data, Ann. Appl. Stat, vol.4, issue.4, pp.2126-2149, 2010.

J. F. Kingman, The representation of partition structures, J. London Math. Soc, vol.18, pp.374-380, 1978.

A. Lijoi, R. Mena, and I. Prünster, Bayesian nonparametric estimation of the probability of discovering a new species, Biometrika, vol.94, pp.769-786, 2007.

P. Muliere and L. Tardella, Approximating distributions of random functionals of Ferguson-Dirichlet priors, The Canadian Journal of Statistics, vol.26, issue.2, pp.283-297, 1998.

C. Navarrete, F. A. Quintana, and P. Mueller, Some issues in nonparametric Bayesian modeling using species sampling models, Statistical Modelling, vol.8, issue.1, pp.3-21, 2008.

Y. Ni, P. Müller, Y. Zhu, J. , and Y. , Heterogeneous reciprocal graphical models, Biometrics, vol.74, issue.2, pp.606-615, 2018.

M. Perman, J. Pitman, Y. , and M. , Size-biased sampling of Poisson point processes and excursions, vol.92, pp.21-39, 1992.

J. Pitman, Exchangeable and partially exchangeable random partitions, vol.102, pp.145-158, 1995.

J. Pitman, Some developments of the Blackwell-MacQueen urn scheme, Statistics, probability and game theory, vol.30, pp.245-267, 1996.

J. Pitman, Combinatorial stochastic processes. Ecole d'Eté de Probabilités de SaintFlour XXXII, Lecture Notes in Mathematics N. 1875, 2006.

J. Pitman and Y. Yakubovich, Extremes and gaps in sampling from a GEM random discrete distribution, Electronic Journal of Probability, p.22, 2017.

J. Pitman and M. Yor, The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator, The Annals of Probability, vol.25, issue.2, pp.855-900, 1997.

E. B. Sudderth and M. I. Jordan, Shared segmentation of natural scenes using dependent Pitman-Yor processes, Advances in Neural Information Processing Systems 21, pp.1585-1592, 2009.

Y. W. Teh, A hierarchical Bayesian language model based on Pitman-Yor processes, Proc. Coling/ACL, pp.985-992, 2006.

F. G. Tricomi and A. Erdélyi, The asymptotic expansion of a ratio of gamma functions, Pacific Journal of Mathematics, vol.1, issue.1, pp.133-142, 1951.