Antoniak, C. E. (1974). Mixtures of Dirichlet processes with applications to Bayesian
nonparametric problems. Annals of Statistics 2 (6), 1152–1174.
Arnold, B. C., Balakrishnan, A. and Nagaraja, H. N. (1992). A first course in order
statistics. John Wiley & Sons, New York.
Billingsley, P. (1995). Probability and measure. John Wiley & Sons, New York.
Engen, S. (1975). A note on the geometric series as species frequency model, Biometrika
62, 697–699.
Ewens, W.J. (1972). The sampling theory of selectively neutral alleles, Theoretical Population Biology 3, 87–112.
Ewens, W.J. (1990). Population genetics theory-the past and the future, in: Mathematical and statistical developments of evolutionary theory (ed. by Lessard, S.), 177–227.
Feller, W. (1966). An introduction to probability theory and its applications Vol. 2, John
Wiley & Sons, New York.
Freedman, D. (1974). The Poisson approximation for dependent events, Annals of Probability 2, 256–269.
Gnedin, A., Iksanov, A., Negadajlov, P. and R¨osler. U. (2009). The Bernoulli sieve revisited, The Annals of Applied Probability, 19 (4), 1634–1655.
Gnedin, A., Iksanov. A., and Marynych, A. (2010). The Bernoulli sieve:
arXiv:1005.5705 [math.PR].
overview,
Grandell. J. (1997). Mixed Poisson processes, Chapman & Hall, London.
Johnson, N. L., Kotz, S. and Balakrishnan (1997). Discrete multivariate distributions,
Wiley & Sons, New York.
Johnson, N. L., Kemp, A. W. and Kotz, S. (2005). Univariate discrete distributions,
3rd Ed., Wiley & Sons, New Jersey.
McCloskey. J. W. (1965). A model for the distribution of individuals by species in an
environment, Ph. D. thesis, Michigan State Univ.
Pitman, J. and Yakubovich, Y. (2017). Extremes and gaps in sampling from a GEM
random discrete distribution, Electronic Journal of Probability, 22, no. 44, 1–26.
Pitman, J. and Yakubovich, Y. (2019). Gaps and and interleaving of point processes in
sampling from a residual allocation model, Bernoulli, 25 (4B), 3623–3651.
Yamato, H. (2020). Statistics based on Dirichlet processes and related topics (JSS Research Series in Statistics), Springer, Singapore.
Received: April 1, 2021
Revised: August 16, 2021; October 17, 2022
Accept: October 19, 2022
...