Maller, R.; Shemehsavar, S. Generalized Poisson-Dirichlet distributions based on the Dickman subordinator. (English. Russian original) Zbl 07669783 Theory Probab. Appl. 67, No. 4, 593-612 (2023); translation from Teor. Veroyatn. Primen. 67, No. 4, 593-612 (2022). MSC: 62-XX 60-XX PDF BibTeX XML Cite \textit{R. Maller} and \textit{S. Shemehsavar}, Theory Probab. Appl. 67, No. 4, 593--612 (2023; Zbl 07669783); translation from Teor. Veroyatn. Primen. 67, No. 4, 593--612 (2022) Full Text: DOI OpenURL
da Silva, Poly H.; Jamshidpey, Arash; McCullagh, Peter; Tavaré, Simon Fisher’s measure of variability in repeated samples. (English) Zbl 07666814 Bernoulli 29, No. 2, 1166-1194 (2023). MSC: 62Pxx 60Gxx 62Exx PDF BibTeX XML Cite \textit{P. H. da Silva} et al., Bernoulli 29, No. 2, 1166--1194 (2023; Zbl 07666814) Full Text: DOI Link OpenURL
Ipsen, Yuguang; Maller, Ross A.; Shemehsavar, Soudabeh A generalised Dickman distribution and the number of species in a negative binomial process model. (English) Zbl 1490.60112 Adv. Appl. Probab. 53, No. 2, 370-399 (2021). MSC: 60G51 60G52 60G55 60G57 62E20 62P10 PDF BibTeX XML Cite \textit{Y. Ipsen} et al., Adv. Appl. Probab. 53, No. 2, 370--399 (2021; Zbl 1490.60112) Full Text: DOI OpenURL
Gan, Han L.; Ross, Nathan Stein’s method for the Poisson-Dirichlet distribution and the Ewens sampling formula, with applications to Wright-Fisher models. (English) Zbl 1476.60025 Ann. Appl. Probab. 31, No. 2, 625-667 (2021). MSC: 60E05 92D25 60B10 60J25 PDF BibTeX XML Cite \textit{H. L. Gan} and \textit{N. Ross}, Ann. Appl. Probab. 31, No. 2, 625--667 (2021; Zbl 1476.60025) Full Text: DOI arXiv Link OpenURL
Grusea, Simona; Labarre, Anthony Central limit theorem for the prefix exchange distance under Ewens sampling formula. (English) Zbl 1458.05005 Discrete Math. 344, No. 2, Article ID 112206, 6 p. (2021). MSC: 05A05 05A15 60C05 60F05 PDF BibTeX XML Cite \textit{S. Grusea} and \textit{A. Labarre}, Discrete Math. 344, No. 2, Article ID 112206, 6 p. (2021; Zbl 1458.05005) Full Text: DOI HAL OpenURL
Feng, Shui Asymptotic behavior of Dirichlet process and related random measures. (Chinese. English summary) Zbl 1499.60074 Sci. Sin., Math. 50, No. 1, 47-58 (2020). MSC: 60F10 60G57 PDF BibTeX XML Cite \textit{S. Feng}, Sci. Sin., Math. 50, No. 1, 47--58 (2020; Zbl 1499.60074) Full Text: DOI OpenURL
Păun, Udrea Ewens distribution on \(\mathbb{S}_n\) is a wavy probability distribution with respect to \(n\) partitions. (English) Zbl 1488.60180 An. Univ. Craiova, Ser. Mat. Inf. 47, No. 1, 1-24 (2020). MSC: 60J10 60C05 60E05 PDF BibTeX XML Cite \textit{U. Păun}, An. Univ. Craiova, Ser. Mat. Inf. 47, No. 1, 1--24 (2020; Zbl 1488.60180) OpenURL
Manstavičius, Eugenijus Sharp bounds for the variance of linear statistics on random permutations. (English) Zbl 1456.60034 Random Struct. Algorithms 57, No. 4, 1303-1313 (2020). MSC: 60C05 05A05 05A15 PDF BibTeX XML Cite \textit{E. Manstavičius}, Random Struct. Algorithms 57, No. 4, 1303--1313 (2020; Zbl 1456.60034) Full Text: DOI OpenURL
Ipsen, Yuguang; Maller, Ross; Shemehsavar, Soudabeh Limiting distributions of generalised Poisson-Dirichlet distributions based on negative binomial processes. (English) Zbl 1469.60148 J. Theor. Probab. 33, No. 4, 1974-2000 (2020). MSC: 60G51 60G52 60G55 60G57 PDF BibTeX XML Cite \textit{Y. Ipsen} et al., J. Theor. Probab. 33, No. 4, 1974--2000 (2020; Zbl 1469.60148) Full Text: DOI OpenURL
Hiesmayr, Ella; Işlak, Ümit Asymptotic results on Hoppe trees and their variations. (English) Zbl 1444.05041 J. Appl. Probab. 57, No. 2, 441-457 (2020). MSC: 05C05 05C80 05C78 60C05 60F05 PDF BibTeX XML Cite \textit{E. Hiesmayr} and \textit{Ü. Işlak}, J. Appl. Probab. 57, No. 2, 441--457 (2020; Zbl 1444.05041) Full Text: DOI arXiv OpenURL
Uyenoyama, Marcy K.; Takebayashi, Naoki; Kumagai, Seiji Allele frequency spectra in structured populations: novel-allele probabilities under the labelled coalescent. (English) Zbl 07208409 Theor. Popul. Biol. 133, 130-140 (2020). MSC: 92-XX PDF BibTeX XML Cite \textit{M. K. Uyenoyama} et al., Theor. Popul. Biol. 133, 130--140 (2020; Zbl 07208409) Full Text: DOI OpenURL
Manstavičius, Eugenijus; Stepas, Vytautas Moments of additive statistics with respect to the Ewens sampling formula. (English) Zbl 1449.11091 Publ. Math. Debr. 95, No. 3-4, 259-277 (2019). MSC: 11M45 05A15 60C05 PDF BibTeX XML Cite \textit{E. Manstavičius} and \textit{V. Stepas}, Publ. Math. Debr. 95, No. 3--4, 259--277 (2019; Zbl 1449.11091) Full Text: DOI OpenURL
Uyenoyama, Marcy K.; Takebayashi, Naoki; Kumagai, Seiji Inductive determination of allele frequency spectrum probabilities in structured populations. (English) Zbl 1423.92208 Theor. Popul. Biol. 129, 148-159 (2019). MSC: 92D10 62P10 92D15 PDF BibTeX XML Cite \textit{M. K. Uyenoyama} et al., Theor. Popul. Biol. 129, 148--159 (2019; Zbl 1423.92208) Full Text: DOI Link OpenURL
Tsukuda, Koji On Poisson approximations for the Ewens sampling formula when the mutation parameter grows with the sample size. (English) Zbl 1466.60053 Ann. Appl. Probab. 29, No. 2, 1188-1232 (2019). MSC: 60F05 60B12 62E20 92D10 17D92 PDF BibTeX XML Cite \textit{K. Tsukuda}, Ann. Appl. Probab. 29, No. 2, 1188--1232 (2019; Zbl 1466.60053) Full Text: DOI arXiv Euclid OpenURL
Yamato, Hajime Shifted binomial approximations for the Ewens sampling formula. II. (Shifted binomial approximation for the Ewens sampling formula.) (English) Zbl 1448.62034 Bull. Inf. Cybern. 50, 43-50 (2018). MSC: 62E17 62D05 PDF BibTeX XML Cite \textit{H. Yamato}, Bull. Inf. Cybern. 50, 43--50 (2018; Zbl 1448.62034) Full Text: DOI OpenURL
Mano, Shuhei Partitions, hypergeometric systems, and Dirichlet processes in statistics. (English) Zbl 1404.62003 SpringerBriefs in Statistics. JSS Research Series in Statistics. Tokyo: Springer (ISBN 978-4-431-55886-6/pbk; 978-4-431-55888-0/ebook). viii, 135 p. (2018). Reviewer: Fraser Daly (Edinburgh) MSC: 62-02 60C05 60G09 60G57 62F15 62G05 33D90 62H30 60G44 PDF BibTeX XML Cite \textit{S. Mano}, Partitions, hypergeometric systems, and Dirichlet processes in statistics. Tokyo: Springer (2018; Zbl 1404.62003) Full Text: DOI OpenURL
Griffiths, Robert C.; Tavaré, Simon Ancestral inference from haplotypes and mutations. (English) Zbl 1405.92174 Theor. Popul. Biol. 122, 12-21 (2018). MSC: 92D10 92D20 92D15 PDF BibTeX XML Cite \textit{R. C. Griffiths} and \textit{S. Tavaré}, Theor. Popul. Biol. 122, 12--21 (2018; Zbl 1405.92174) Full Text: DOI arXiv OpenURL
Arratia, Richard; Barbour, A. D.; Ewens, W. J.; Tavaré, Simon Simulating the component counts of combinatorial structures. (English) Zbl 1405.92158 Theor. Popul. Biol. 122, 5-11 (2018). MSC: 92D10 60C05 05A16 PDF BibTeX XML Cite \textit{R. Arratia} et al., Theor. Popul. Biol. 122, 5--11 (2018; Zbl 1405.92158) Full Text: DOI Link OpenURL
Tsukuda, Koji Functional central limit theorems in \(L^{2}(0,1)\) for logarithmic combinatorial assemblies. (English) Zbl 1429.60034 Bernoulli 24, No. 2, 1033-1052 (2018). MSC: 60F17 60C05 60F05 PDF BibTeX XML Cite \textit{K. Tsukuda}, Bernoulli 24, No. 2, 1033--1052 (2018; Zbl 1429.60034) Full Text: DOI Euclid OpenURL
Yamato, Hajime Shifted binomial approximations for Ewens sampling formula. (English) Zbl 1448.62033 Bull. Inf. Cybern. 49, 81-88 (2017). MSC: 62E17 62D05 60D05 PDF BibTeX XML Cite \textit{H. Yamato}, Bull. Inf. Cybern. 49, 81--88 (2017; Zbl 1448.62033) Full Text: DOI Link OpenURL
Tsukuda, Koji Estimating the large mutation parameter of the Ewens sampling formula. (English) Zbl 1401.62035 J. Appl. Probab. 54, No. 1, 42-54 (2017); correction ibid. 55, No. 3, 998-999 (2018). MSC: 62F12 60F05 62P10 92D10 PDF BibTeX XML Cite \textit{K. Tsukuda}, J. Appl. Probab. 54, No. 1, 42--54 (2017; Zbl 1401.62035) Full Text: DOI OpenURL
Yamato, Hajime Poisson approximations for sum of Bernoulli random variables and its application to Ewens sampling formula. (English) Zbl 1395.62030 J. Jpn. Stat. Soc. 47, No. 2, 187-195 (2017). MSC: 62E17 60G50 60C05 PDF BibTeX XML Cite \textit{H. Yamato}, J. Jpn. Stat. Soc. 47, No. 2, 187--195 (2017; Zbl 1395.62030) Full Text: DOI OpenURL
Pinsky, Ross G. Some connections between permutation cycles and Touchard polynomials and between permutations that fix a set and covers of multisets. (English) Zbl 1387.60017 Electron. Commun. Probab. 22, Paper No. 17, 9 p. (2017). MSC: 60C05 05A05 05A15 PDF BibTeX XML Cite \textit{R. G. Pinsky}, Electron. Commun. Probab. 22, Paper No. 17, 9 p. (2017; Zbl 1387.60017) Full Text: DOI arXiv Euclid OpenURL
Crane, Harry The ubiquitous Ewens sampling formula. (English) Zbl 1442.60010 Stat. Sci. 31, No. 1, 1-19 (2016). MSC: 60C05 60G09 60G57 62G05 62F15 62P10 92D15 PDF BibTeX XML Cite \textit{H. Crane}, Stat. Sci. 31, No. 1, 1--19 (2016; Zbl 1442.60010) Full Text: DOI Euclid OpenURL
Yamato, Hajime; Nomachi, Toshifumi; Toda, Koichiro Approximate distributions for the number of distinct components of the Ewens sampling formula and its applications. (English) Zbl 1457.62070 Bull. Inf. Cybern. 47, 69-81 (2015). MSC: 62E17 62E20 62D05 62-08 PDF BibTeX XML Cite \textit{H. Yamato} et al., Bull. Inf. Cybern. 47, 69--81 (2015; Zbl 1457.62070) Full Text: DOI Link OpenURL
Rossi, Paolo Invariant expectation values in the sampling of discrete frequency distributions. (English) Zbl 1395.62015 Physica A 394, 177-186 (2014). MSC: 62D05 60C05 92D25 PDF BibTeX XML Cite \textit{P. Rossi}, Physica A 394, 177--186 (2014; Zbl 1395.62015) Full Text: DOI arXiv OpenURL
Manstavičius, Eugenijus; Stepanauskas, Vytautas On variance of an additive function with respect to a generalized Ewens probability. (English) Zbl 1331.60025 Bousquet-Mélou, Mireille (ed.) et al., Proceeding of the 25th international conference on probabilistic, combinatorial and asymptotic methods in the analysis of algorithms, AofA’14, UPMC-Jussieu, Paris, France, June 16–20, 2014. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science (DMTCS-HAL). Proceedings BA, 301-311 (2014). MSC: 60C05 11K65 11N64 05A16 PDF BibTeX XML Cite \textit{E. Manstavičius} and \textit{V. Stepanauskas}, in: Proceeding of the 25th international conference on probabilistic, combinatorial and asymptotic methods in the analysis of algorithms, AofA'14, UPMC-Jussieu, Paris, France, June 16--20, 2014. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 301--311 (2014; Zbl 1331.60025) Full Text: Link OpenURL
Hansen, Jennie C.; Jaworski, Jerzy Random mappings with Ewens cycle structure. (English) Zbl 1313.05340 Ars Comb. 112, 307-322 (2013). MSC: 05C80 05C38 05C20 PDF BibTeX XML Cite \textit{J. C. Hansen} and \textit{J. Jaworski}, Ars Comb. 112, 307--322 (2013; Zbl 1313.05340) OpenURL
Yamato, Hajime The Erdős-Turán law for mixtures of Dirichlet processes. (English) Zbl 1296.60016 Bull. Inf. Cybern. 45, 59-66 (2013). MSC: 60C05 60F05 PDF BibTeX XML Cite \textit{H. Yamato}, Bull. Inf. Cybern. 45, 59--66 (2013; Zbl 1296.60016) OpenURL
Rodríguez, Abel On the Jeffreys prior for the multivariate Ewens distribution. (English) Zbl 1356.62039 Stat. Probab. Lett. 83, No. 6, 1539-1546 (2013). MSC: 62F15 60G57 62E15 PDF BibTeX XML Cite \textit{A. Rodríguez}, Stat. Probab. Lett. 83, No. 6, 1539--1546 (2013; Zbl 1356.62039) Full Text: DOI arXiv OpenURL
Griffiths, Robert C.; Spanò, Dario Orthogonal polynomial kernels and canonical correlations for Dirichlet measures. (English) Zbl 1281.60015 Bernoulli 19, No. 2, 548-598 (2013). MSC: 60E05 60C05 33C45 62E10 62F15 PDF BibTeX XML Cite \textit{R. C. Griffiths} and \textit{D. Spanò}, Bernoulli 19, No. 2, 548--598 (2013; Zbl 1281.60015) Full Text: DOI arXiv Euclid OpenURL
Desai, Michael M.; Nicolaisen, Lauren E.; Walczak, Aleksandra M.; Plotkin, Joshua B. The structure of allelic diversity in the presence of purifying selection. (English) Zbl 1322.92045 Theor. Popul. Biol. 81, No. 2, 144-157 (2012). MSC: 92D15 92D10 PDF BibTeX XML Cite \textit{M. M. Desai} et al., Theor. Popul. Biol. 81, No. 2, 144--157 (2012; Zbl 1322.92045) Full Text: DOI arXiv Link OpenURL
Gasparini, Mauro Mixtures and limits of symmetric random integer partitions. (English) Zbl 1302.62119 Metron 70, No. 2-3, 207-217 (2012). MSC: 62H10 62E15 05A17 PDF BibTeX XML Cite \textit{M. Gasparini}, Metron 70, No. 2--3, 207--217 (2012; Zbl 1302.62119) Full Text: DOI OpenURL
Zhao, James Yuanjie Universality of asymptotically Ewens measures on partitions. (English) Zbl 1246.60041 Electron. Commun. Probab. 17, Paper No. 16, 11 p. (2012). MSC: 60F05 60C05 PDF BibTeX XML Cite \textit{J. Y. Zhao}, Electron. Commun. Probab. 17, Paper No. 16, 11 p. (2012; Zbl 1246.60041) Full Text: DOI arXiv OpenURL
Evans, Steven Neil; Grübel, Rudolf; Wakolbinger, Anton Trickle-down processes and their boundaries. (English) Zbl 1246.60100 Electron. J. Probab. 17, Paper No. 1, 58 p. (2012). MSC: 60J50 60J10 68W40 60G57 PDF BibTeX XML Cite \textit{S. N. Evans} et al., Electron. J. Probab. 17, Paper No. 1, 58 p. (2012; Zbl 1246.60100) Full Text: DOI arXiv OpenURL
Lambert, Amaury Species abundance distributions in neutral models with immigration or mutation and general lifetimes. (English) Zbl 1230.92043 J. Math. Biol. 63, No. 1, 57-72 (2011). MSC: 92D15 92D40 60J85 92D25 60J80 60G51 PDF BibTeX XML Cite \textit{A. Lambert}, J. Math. Biol. 63, No. 1, 57--72 (2011; Zbl 1230.92043) Full Text: DOI arXiv OpenURL
RoyChoudhury, Arindam; Wakeley, John Sufficiency of the number of segregating sites in the limit under finite-sites mutation. (English) Zbl 1403.92152 Theor. Popul. Biol. 78, No. 2, 118-122 (2010). MSC: 92D10 PDF BibTeX XML Cite \textit{A. RoyChoudhury} and \textit{J. Wakeley}, Theor. Popul. Biol. 78, No. 2, 118--122 (2010; Zbl 1403.92152) Full Text: DOI OpenURL
RoyChoudhury, Arindam; Wakeley, John Sufficiency of the number of segregating sites in the limit under finite-sites mutation. (English) Zbl 1338.92082 Theor. Popul. Biol. 78, No. 2, 118-122 (2010). MSC: 92D10 92B15 62P10 PDF BibTeX XML Cite \textit{A. RoyChoudhury} and \textit{J. Wakeley}, Theor. Popul. Biol. 78, No. 2, 118--122 (2010; Zbl 1338.92082) Full Text: DOI OpenURL
Watkins, Joseph C. Convergence time to the Ewens sampling formula in the infinite alleles Moran model. (English) Zbl 1311.92130 J. Math. Biol. 60, No. 2, 189-206 (2010). MSC: 92D10 60J20 PDF BibTeX XML Cite \textit{J. C. Watkins}, J. Math. Biol. 60, No. 2, 189--206 (2010; Zbl 1311.92130) Full Text: DOI OpenURL
Lessard, Sabin Recurrence equations for the probability distribution of sample configurations in exact population genetics models. (English) Zbl 1204.92052 J. Appl. Probab. 47, No. 3, 732-751 (2010). Reviewer: Leonid Petrov (Moscow) MSC: 92D15 92D10 60C05 92D25 PDF BibTeX XML Cite \textit{S. Lessard}, J. Appl. Probab. 47, No. 3, 732--751 (2010; Zbl 1204.92052) Full Text: DOI OpenURL
Jenkins, Paul A.; Song, Yun S. An asymptotic sampling formula for the coalescent with recombination. (English) Zbl 1193.92077 Ann. Appl. Probab. 20, No. 3, 1005-1028 (2010). MSC: 92D15 92D10 60C05 65C50 PDF BibTeX XML Cite \textit{P. A. Jenkins} and \textit{Y. S. Song}, Ann. Appl. Probab. 20, No. 3, 1005--1028 (2010; Zbl 1193.92077) Full Text: DOI arXiv OpenURL
Leviyang, Sivan The distribution of \(F_{st}\) for the island model in the large population, weak mutation limit. (English) Zbl 1201.62130 Stochastic Anal. Appl. 28, No. 4, 577-601 (2010). MSC: 62P10 62E20 92D15 92D10 PDF BibTeX XML Cite \textit{S. Leviyang}, Stochastic Anal. Appl. 28, No. 4, 577--601 (2010; Zbl 1201.62130) Full Text: DOI OpenURL
Feng, Shui The Poisson-Dirichlet distribution and related topics. Models and asymptotic behaviors. (English) Zbl 1214.60001 Probability and its Applications. Berlin: Springer (ISBN 978-3-642-11193-8/hbk; 978-3-642-26379-8/pbk; 978-3-642-11194-5/ebook). xiii, 218 p. (2010). Reviewer: Nicolas Perkowski (Berlin) MSC: 60-02 60E99 92D25 60G20 60J70 60J25 60K35 60F10 PDF BibTeX XML Cite \textit{S. Feng}, The Poisson-Dirichlet distribution and related topics. Models and asymptotic behaviors. Berlin: Springer (2010; Zbl 1214.60001) Full Text: DOI OpenURL
Etienne, Rampal S. Maximum likelihood estimation of neutral model parameters for multiple samples with different degrees of dispersal limitation. (English) Zbl 1400.92575 J. Theor. Biol. 257, No. 3, 510-514 (2009). MSC: 92D40 92D25 62P10 62D05 PDF BibTeX XML Cite \textit{R. S. Etienne}, J. Theor. Biol. 257, No. 3, 510--514 (2009; Zbl 1400.92575) Full Text: DOI HAL OpenURL
Ganapathy, Ganeshkumar; Uyenoyama, Marcy K. Site frequency spectra from genomic SNP surveys. (English) Zbl 1213.92032 Theor. Popul. Biol. 75, No. 4, 346-354 (2009). MSC: 92D10 60C05 PDF BibTeX XML Cite \textit{G. Ganapathy} and \textit{M. K. Uyenoyama}, Theor. Popul. Biol. 75, No. 4, 346--354 (2009; Zbl 1213.92032) Full Text: DOI Link OpenURL
Haegeman, Bart; Etienne, Rampal S. Neutral models with generalised speciation. (English) Zbl 1171.92031 Bull. Math. Biol. 71, No. 6, 1507-1519 (2009). MSC: 92D15 92D40 60J20 PDF BibTeX XML Cite \textit{B. Haegeman} and \textit{R. S. Etienne}, Bull. Math. Biol. 71, No. 6, 1507--1519 (2009; Zbl 1171.92031) Full Text: DOI OpenURL
Hoppe, Fred M. Faà di Bruno’s formula and the distributions of random partitions in population genetics and physics. (English) Zbl 1210.92006 Theor. Popul. Biol. 73, No. 4, 543-551 (2008). MSC: 92D10 62P10 PDF BibTeX XML Cite \textit{F. M. Hoppe}, Theor. Popul. Biol. 73, No. 4, 543--551 (2008; Zbl 1210.92006) Full Text: DOI OpenURL
Thompson, E. A. The IBD process along four chromosomes. (English) Zbl 1209.92042 Theor. Popul. Biol. 73, No. 3, 369-373 (2008). MSC: 92D10 60J20 PDF BibTeX XML Cite \textit{E. A. Thompson}, Theor. Popul. Biol. 73, No. 3, 369--373 (2008; Zbl 1209.92042) Full Text: DOI Link OpenURL
Etienne, Rampal S.; Alonso, David; McKane, Alan J. The zero-sum assumption in neutral biodiversity theory. (English) Zbl 1451.92322 J. Theor. Biol. 248, No. 3, 522-536 (2007). MSC: 92D40 PDF BibTeX XML Cite \textit{R. S. Etienne} et al., J. Theor. Biol. 248, No. 3, 522--536 (2007; Zbl 1451.92322) Full Text: DOI Link OpenURL
Babu, Gutti Jogesh; Manstavičius, Eugenijus; Zacharovas, Vytas Limiting processes with dependent increments for measures on symmetric group of permutations. (English) Zbl 1145.60007 Akiyama, Shigeki (ed.) et al., Probability and number theory – Kanazawa 2005. Proceedings of the international conference on probability and number theory, Kanazawa, Japan, June 20–24, 2005. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-43-3/hbk). Adv. Stud. Pure Math. 49, 41-67 (2007). Reviewer: Ken-ichi Yoshihara (Tokyo) MSC: 60C05 60F17 11K65 PDF BibTeX XML Cite \textit{G. J. Babu} et al., Adv. Stud. Pure Math. 49, 41--67 (2007; Zbl 1145.60007) OpenURL
Holst, Lars Counts of failure strings in certain Bernoulli sequences. (English) Zbl 1132.60011 J. Appl. Probab. 44, No. 3, 824-830 (2007). MSC: 60C05 60K99 PDF BibTeX XML Cite \textit{L. Holst}, J. Appl. Probab. 44, No. 3, 824--830 (2007; Zbl 1132.60011) Full Text: DOI OpenURL
Charalambides, Charalambos A. Distributions of random partitions and their applications. (English) Zbl 1122.60008 Methodol. Comput. Appl. Probab. 9, No. 2, 163-193 (2007). MSC: 60C05 62D05 05A05 05A17 PDF BibTeX XML Cite \textit{C. A. Charalambides}, Methodol. Comput. Appl. Probab. 9, No. 2, 163--193 (2007; Zbl 1122.60008) Full Text: DOI OpenURL
Etienne, Rampal S.; Alonso, David Neutral community theory: How stochasticity and dispersal-limitation can explain species coexistence. (English) Zbl 1115.92055 J. Stat. Phys. 128, No. 1-2, 485-510 (2007). MSC: 92D40 60G99 60G35 PDF BibTeX XML Cite \textit{R. S. Etienne} and \textit{D. Alonso}, J. Stat. Phys. 128, No. 1--2, 485--510 (2007; Zbl 1115.92055) Full Text: DOI OpenURL
Möhle, M. On sampling distributions for coalescent processes with simultaneous multiple collisions. (English) Zbl 1099.92052 Bernoulli 12, No. 1, 35-53 (2006). MSC: 92D10 60J25 60J27 PDF BibTeX XML Cite \textit{M. Möhle}, Bernoulli 12, No. 1, 35--53 (2006; Zbl 1099.92052) Full Text: Euclid OpenURL
Griffiths, Robert C.; Lessard, Sabin Ewens’ sampling formula and related formulae: combinatorial proofs, extensions to variable population size and applications to ages of alleles. (English) Zbl 1085.92027 Theor. Popul. Biol. 68, No. 3, 167-177 (2005). MSC: 92D15 60C05 PDF BibTeX XML Cite \textit{R. C. Griffiths} and \textit{S. Lessard}, Theor. Popul. Biol. 68, No. 3, 167--177 (2005; Zbl 1085.92027) Full Text: DOI OpenURL
Garibaldi, U.; Costantini, D.; Viarengo, P. A finitary characterization of the Ewens sampling formula. (English) Zbl 1100.91071 Adv. Complex Syst. 7, No. 2, 265-284 (2004). MSC: 91C20 PDF BibTeX XML Cite \textit{U. Garibaldi} et al., Adv. Complex Syst. 7, No. 2, 265--284 (2004; Zbl 1100.91071) Full Text: DOI OpenURL
Arratia, Richard; Barbour, A. D.; Tavaré, Simon Logarithmic combinatorial structures: A probabilistic approach. (English) Zbl 1040.60001 EMS Monographs in Mathematics. Zürich: European Mathematical Society (EMS) (ISBN 3-03719-000-0/hbk). xi, 363 p. (2003). Reviewer: Hsien-Kuei Hwang (Taipei) MSC: 60-02 05-02 05A05 05A40 60D05 PDF BibTeX XML Cite \textit{R. Arratia} et al., Logarithmic combinatorial structures: A probabilistic approach. Zürich: European Mathematical Society (EMS) (2003; Zbl 1040.60001) Full Text: DOI Link OpenURL
Huillet, Thierry; Martinez, Servet Sampling from finite random partitions. (English) Zbl 1038.60007 Methodol. Comput. Appl. Probab. 5, No. 4, 467-492 (2003). Reviewer: Lars Holst (Stockholm) MSC: 60C05 PDF BibTeX XML Cite \textit{T. Huillet} and \textit{S. Martinez}, Methodol. Comput. Appl. Probab. 5, No. 4, 467--492 (2003; Zbl 1038.60007) Full Text: DOI OpenURL
Garibaldi, U.; Penco, M. A.; Viarengo, P. An exact physical approach to market participation models. (English) Zbl 1061.91046 Cowan, Robin (ed.) et al., Heterogenous agents, interactions and economic performance. Selected papers of the 6th workshop on economics with heterogeneous interacting agents (WEHIA), Maastricht, Netherlands, 2001. Berlin: Springer (ISBN 3-540-44057-7/pbk). Lect. Notes Econ. Math. Syst. 521, 91-103 (2003). MSC: 91B64 91B28 91C20 PDF BibTeX XML Cite \textit{U. Garibaldi} et al., Lect. Notes Econ. Math. Syst. 521, 91--103 (2003; Zbl 1061.91046) OpenURL
Joyce, Paul; Krone, Stephen M.; Kurtz, Thomas G. When can one detect overdominant selection in the infinite-alleles model? (English) Zbl 1011.62115 Ann. Appl. Probab. 13, No. 1, 181-212 (2003). MSC: 62P10 92D15 62F05 60F15 60G42 PDF BibTeX XML Cite \textit{P. Joyce} et al., Ann. Appl. Probab. 13, No. 1, 181--212 (2003; Zbl 1011.62115) Full Text: DOI OpenURL
Grote, Mark N.; Speed, Terence P. Approximate Ewens formulae for symmetric overdominance selection. (English) Zbl 1010.62100 Ann. Appl. Probab. 12, No. 2, 637-663 (2002). MSC: 62P10 92D15 92D10 PDF BibTeX XML Cite \textit{M. N. Grote} and \textit{T. P. Speed}, Ann. Appl. Probab. 12, No. 2, 637--663 (2002; Zbl 1010.62100) Full Text: DOI OpenURL
Burr, Tom L. Quasi-equilibrium theory for the distribution of rare alleles in a subdivided population: Justification and implications. (English) Zbl 0974.92021 Theor. Popul. Biol. 57, No. 3, 297-306 (2000). MSC: 92D15 62P10 PDF BibTeX XML Cite \textit{T. L. Burr}, Theor. Popul. Biol. 57, No. 3, 297--306 (2000; Zbl 0974.92021) Full Text: DOI OpenURL
Babu, G. J.; Manstavičius, E. Random permutations and the Ewens sampling formula in genetics. (English) Zbl 0984.62092 Grigelionis, B. (ed.) et al., Probability theory and mathematical statistics. Proceedings of the 7th international Vilnius conference, Vilnius, Lithuania, August, 12-18, 1998. Vilnius: TEV. 33-42 (1999). MSC: 62P10 60F17 92D10 PDF BibTeX XML Cite \textit{G. J. Babu} and \textit{E. Manstavičius}, in: Probability theory and mathematical statistics. Proceedings of the 7th international Vilnius conference, Vilnius, Lithuania, August, 12--18, 1998. Vilnius: TEV; Utrecht: VSP. 33--42 (1999; Zbl 0984.62092) OpenURL
Babu, G. J.; Manstavičius, E. Brownian motion for random permutations. (English) Zbl 0978.60027 Sankhyā, Ser. A 61, No. 3, 312-327 (1999). MSC: 60F17 60C05 11K65 PDF BibTeX XML Cite \textit{G. J. Babu} and \textit{E. Manstavičius}, Sankhyā, Ser. A 61, No. 3, 312--327 (1999; Zbl 0978.60027) OpenURL
Feng, Shui; Hoppe, Fred M. Large deviation principles for some random combinatorial structures in population genetics and Brownian motion. (English) Zbl 0945.60019 Ann. Appl. Probab. 8, No. 4, 975-994 (1998). Reviewer: A.Mogulskij (Novosibirsk) MSC: 60F10 05A17 92D10 PDF BibTeX XML Cite \textit{S. Feng} and \textit{F. M. Hoppe}, Ann. Appl. Probab. 8, No. 4, 975--994 (1998; Zbl 0945.60019) Full Text: DOI OpenURL
Stark, Dudley Total variation asymptotics for independent process approximations of logarithmic multisets and selections. (English) Zbl 0895.60009 Random Struct. Algorithms 11, No. 1, 51-80 (1997). MSC: 60C05 PDF BibTeX XML Cite \textit{D. Stark}, Random Struct. Algorithms 11, No. 1, 51--80 (1997; Zbl 0895.60009) Full Text: DOI OpenURL
Hirth, Ulrich Martin A Poisson approximation for the Dirichlet law, the Ewens sampling formula and the Griffiths-Engen-McCloskey law by the Stein-Chen coupling method. (English) Zbl 0884.60019 Bernoulli 3, No. 2, 225-232 (1997). MSC: 60E99 60F05 PDF BibTeX XML Cite \textit{U. M. Hirth}, Bernoulli 3, No. 2, 225--232 (1997; Zbl 0884.60019) Full Text: DOI Euclid OpenURL
Ewens, W. J. Remarks on the law of succession. (English) Zbl 0877.62092 Heyde, C. C. (ed.) et al., Athens conference on applied probability and time series analysis, Athens, Greece, March 22–26, 1995. Vol. I: Applied probability. In honor of J. M. Gani. Berlin: Springer. Lect. Notes Stat., Springer-Verlag. 114, 229-244 (1996). MSC: 62P10 PDF BibTeX XML Cite \textit{W. J. Ewens}, in: Athens conference on applied probability and time series analysis, Athens, Greece, March 22--26, 1995. Vol. I: Applied probability. In honor of J. M. Gani. Berlin: Springer. 229--244 (1996; Zbl 0877.62092) OpenURL
Aldous, David Probability distributions on cladograms. (English) Zbl 0841.92015 Aldous, David (ed.) et al., Random discrete structures. Based on a workshop held November 15-19, 1993 at IMA, University of Minnesota, Minneapolis, MN, USA. Berlin: Springer-Verlag. IMA Vol. Math. Appl. 76, 1-18 (1996). Reviewer: M.Iosifescu (Bucureşti) MSC: 92D15 60C05 PDF BibTeX XML Cite \textit{D. Aldous}, IMA Vol. Math. Appl. 76, 1--18 (1996; Zbl 0841.92015) OpenURL
Sibuya, Masaaki; Yamato, Hajime Ordered and unordered random partitions of an integer and the GEM distribution. (English) Zbl 0843.60011 Stat. Probab. Lett. 25, No. 2, 177-183 (1995). Reviewer: B.Szyszkowicz (Ottawa) MSC: 60C05 PDF BibTeX XML Cite \textit{M. Sibuya} and \textit{H. Yamato}, Stat. Probab. Lett. 25, No. 2, 177--183 (1995; Zbl 0843.60011) Full Text: DOI OpenURL
Joyce, Paul Robustness of the Ewens sampling formula. (English) Zbl 0836.62022 J. Appl. Probab. 32, No. 3, 609-622 (1995). MSC: 62F12 60G42 60F15 62P10 PDF BibTeX XML Cite \textit{P. Joyce}, J. Appl. Probab. 32, No. 3, 609--622 (1995; Zbl 0836.62022) Full Text: DOI OpenURL
Arratia, Richard; Stark, Dudley; Tavaré, Simon Total variation asymptotics for Poisson process approximations for logarithmic combinatorial assemblies. (English) Zbl 0833.60010 Ann. Probab. 23, No. 3, 1347-1388 (1995). MSC: 60C05 60F17 05A05 05A16 PDF BibTeX XML Cite \textit{R. Arratia} et al., Ann. Probab. 23, No. 3, 1347--1388 (1995; Zbl 0833.60010) Full Text: DOI OpenURL
Sibuya, Masaaki; Yamato, Hajime Characterization of some random partitions. (English) Zbl 0853.60005 Japan J. Ind. Appl. Math. 12, No. 2, 237-263 (1995). MSC: 60C05 92D10 PDF BibTeX XML Cite \textit{M. Sibuya} and \textit{H. Yamato}, Japan J. Ind. Appl. Math. 12, No. 2, 237--263 (1995; Zbl 0853.60005) Full Text: DOI OpenURL
Joyce, Paul; Tavaré, Simon The distribution of rare alleles. (English) Zbl 0830.92014 J. Math. Biol. 33, No. 6, 602-618 (1995). MSC: 92D10 60F17 60F05 PDF BibTeX XML Cite \textit{P. Joyce} and \textit{S. Tavaré}, J. Math. Biol. 33, No. 6, 602--618 (1995; Zbl 0830.92014) Full Text: DOI OpenURL
Ethier, S. N. Eigenstructure of the infinitely-many-neutral-alleles diffusion model. (English) Zbl 0756.92017 J. Appl. Probab. 29, No. 3, 487-498 (1992). Reviewer: A.Kopp-Schneider (Heidelberg) MSC: 92D10 60J35 60J60 92D15 60J70 PDF BibTeX XML Cite \textit{S. N. Ethier}, J. Appl. Probab. 29, No. 3, 487--498 (1992; Zbl 0756.92017) Full Text: DOI OpenURL
Barbour, A. D. Refined approximations for the Ewens sampling formula. (English) Zbl 0798.60010 Random Struct. Algorithms 3, No. 3, 267-276 (1992). MSC: 60C05 60F05 PDF BibTeX XML Cite \textit{A. D. Barbour}, Random Struct. Algorithms 3, No. 3, 267--276 (1992; Zbl 0798.60010) Full Text: DOI OpenURL
Trieb, Gudrun A Pólya urn model and the coalescent. (English) Zbl 0756.92018 J. Appl. Probab. 29, No. 1, 1-10 (1992). Reviewer: E.Kazarovitsky (Kiev) MSC: 92D10 60J10 60C05 60J70 60J20 PDF BibTeX XML Cite \textit{G. Trieb}, J. Appl. Probab. 29, No. 1, 1--10 (1992; Zbl 0756.92018) Full Text: DOI OpenURL
Donnelly, Peter; Kurtz, Thomas G.; Tavaré, Simon On the functional central limit theorem for the Ewens sampling formula. (English) Zbl 0747.60013 Ann. Appl. Probab. 1, No. 4, 539-545 (1991). Reviewer: L.Holst (Stockholm) MSC: 60C05 60F17 60J85 92D10 PDF BibTeX XML Cite \textit{P. Donnelly} et al., Ann. Appl. Probab. 1, No. 4, 539--545 (1991; Zbl 0747.60013) Full Text: DOI OpenURL
Ethier, S. N.; Griffiths, R. C. On the two-locus sampling distribution. (English) Zbl 0729.92012 J. Math. Biol. 29, No. 2, 131-159 (1990). Reviewer: J.M.Gani (Canberra) MSC: 92D10 60J70 PDF BibTeX XML Cite \textit{S. N. Ethier} and \textit{R. C. Griffiths}, J. Math. Biol. 29, No. 2, 131--159 (1990; Zbl 0729.92012) Full Text: DOI OpenURL
Watterson, G. A. Allele frequencies in multigene families. I: Diffusion equation approach. (English) Zbl 0694.92007 Theor. Popul. Biol. 35, No. 2, 142-160 (1989). Reviewer: R.Bürger MSC: 92D10 60J70 PDF BibTeX XML Cite \textit{G. A. Watterson}, Theor. Popul. Biol. 35, No. 2, 142--160 (1989; Zbl 0694.92007) Full Text: DOI OpenURL
Shimizu, Akinobu Stationary distribution of a diffusion process taking values in probability distributions on the partitions. (English) Zbl 0644.92010 Stochastic methods in biology, Proc. Workshop, Nagoya/Jap. 1985, Lect. Notes Biomath. 70, 100-114 (1987). Reviewer: C.A.Braumann MSC: 92D10 60J70 11P81 PDF BibTeX XML OpenURL
Keener, Robert; Rothman, Edward; Starr, Norman Distributions on partitions. (English) Zbl 0629.62023 Ann. Stat. 15, 1466-1481 (1987). MSC: 62E20 62F10 PDF BibTeX XML Cite \textit{R. Keener} et al., Ann. Stat. 15, 1466--1481 (1987; Zbl 0629.62023) Full Text: DOI OpenURL
Donnelly, Peter Partition structures, Polya urns, the Ewens sampling formula, and the ages of alleles. (English) Zbl 0608.92005 Theor. Popul. Biol. 30, 271-288 (1986). Reviewer: S.R.Wilson MSC: 92D10 PDF BibTeX XML Cite \textit{P. Donnelly}, Theor. Popul. Biol. 30, 271--288 (1986; Zbl 0608.92005) Full Text: DOI OpenURL
Rothman, E. D.; Weber, N. C. A model of weak selection in the infinite alleles framework. (English) Zbl 0604.92010 J. Math. Biol. 24, 353-360 (1986). Reviewer: F.P.Kelly MSC: 92D10 60J27 60J85 PDF BibTeX XML Cite \textit{E. D. Rothman} and \textit{N. C. Weber}, J. Math. Biol. 24, 353--360 (1986; Zbl 0604.92010) Full Text: DOI OpenURL
Donnelly, Peter; Tavaré, Simon The ages of alleles and a coalescent. (English) Zbl 0588.92013 Adv. Appl. Probab. 18, 1-19 (1986). Reviewer: F.P.Kelly MSC: 92D10 60J20 60J10 PDF BibTeX XML Cite \textit{P. Donnelly} and \textit{S. Tavaré}, Adv. Appl. Probab. 18, 1--19 (1986; Zbl 0588.92013) Full Text: DOI Link OpenURL
Clifford, Peter; Sudbury, Aidan Looking backwards in time in the Moran model in population genetics. (English) Zbl 0571.92016 J. Appl. Probab. 22, 437-442 (1985). Reviewer: J.Spouge MSC: 92D10 PDF BibTeX XML Cite \textit{P. Clifford} and \textit{A. Sudbury}, J. Appl. Probab. 22, 437--442 (1985; Zbl 0571.92016) Full Text: DOI OpenURL
Hoppe, Fred M. Pólya-like urns and the Ewens’ sampling formula. (English) Zbl 0547.92009 J. Math. Biol. 20, 91-94 (1984). MSC: 92D10 60C05 60J05 PDF BibTeX XML Cite \textit{F. M. Hoppe}, J. Math. Biol. 20, 91--94 (1984; Zbl 0547.92009) Full Text: DOI OpenURL
Sawyer, Stanley A stability property of the Ewens sampling formula. (English) Zbl 0538.92014 J. Appl. Probab. 20, 449-459 (1983). Reviewer: G.Karigl MSC: 92D10 60J70 PDF BibTeX XML Cite \textit{S. Sawyer}, J. Appl. Probab. 20, 449--459 (1983; Zbl 0538.92014) Full Text: DOI OpenURL
Kingman, J. F. C. On the genealogy of large populations. (English) Zbl 0516.92011 Essays in statistical science, Pap. in Honour of P. A. P. Moran, J. Appl. Probab., Spec. Vol. 19A, 27-43 (1982). MSC: 92D10 92D25 60K99 60J20 PDF BibTeX XML OpenURL
Kingman, J. F. C. Exchangeability and the evolution of large populations. (English) Zbl 0494.92011 Exchangeability in probability and statistics, Proc. int. Conf., Rome 1981, 97-112 (1982). MSC: 92D10 60J20 60A05 60J27 60G35 PDF BibTeX XML OpenURL
Kingman, J. F. C. Mathematics of genetic diversity. (English) Zbl 0458.92009 CBMS-NSF Regional Conference Series in Applied Mathematics 34. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 0-89871-166-5). vii, 70 p. (1980). MSC: 92D10 92-02 60J70 PDF BibTeX XML Cite \textit{J. F. C. Kingman}, Mathematics of genetic diversity. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (1980; Zbl 0458.92009) OpenURL
Kingman, J. F. C. Random partitions in population genetics. (English) Zbl 0393.92011 Proc. R. Soc. Lond., Ser. A 361, 1-20 (1978). MSC: 92D10 PDF BibTeX XML Cite \textit{J. F. C. Kingman}, Proc. R. Soc. Lond., Ser. A 361, 1--20 (1978; Zbl 0393.92011) Full Text: DOI OpenURL
Kingman, J. F. C. The population structure associated with the Ewens sampling formula. (English) Zbl 0421.92011 Theor. Population Biology 11, 274-283 (1977). MSC: 92D10 92D25 60J70 PDF BibTeX XML Cite \textit{J. F. C. Kingman}, Theor. Popul. Biol. 11, 274--283 (1977; Zbl 0421.92011) Full Text: DOI OpenURL