Krone, Stephen M. Paul Joyce and the infinite alleles model. (English) Zbl 1405.92177 Theor. Popul. Biol. 122, 3-4 (2018). MSC: 92D10 01A70 PDFBibTeX XMLCite \textit{S. M. Krone}, Theor. Popul. Biol. 122, 3--4 (2018; Zbl 1405.92177) Full Text: DOI
Champagnat, Nicolas; Benoit, Henry Moments of the frequency spectrum of a splitting tree with neutral Poissonian mutations. (English) Zbl 1348.60124 Electron. J. Probab. 21, Paper No. 53, 34 p. (2016). MSC: 60J80 92D10 17D92 60J85 60G51 60G57 60F15 PDFBibTeX XMLCite \textit{N. Champagnat} and \textit{H. Benoit}, Electron. J. Probab. 21, Paper No. 53, 34 p. (2016; Zbl 1348.60124) Full Text: DOI arXiv Euclid
Ruggiero, Matteo Species dynamics in the two-parameter Poisson-Dirichlet diffusion model. (English) Zbl 1291.60162 J. Appl. Probab. 51, No. 1, 174-190 (2014). MSC: 60J60 60G57 92D25 PDFBibTeX XMLCite \textit{M. Ruggiero}, J. Appl. Probab. 51, No. 1, 174--190 (2014; Zbl 1291.60162) Full Text: DOI arXiv Euclid
Horn, Ulrike Wright-Fisher model – basic model and variation. (Wright-Fisher-Modell – Grundmodell und Variation.) (German) Zbl 1471.92226 Biebler, Karl-Ernst (ed.) et al., Biometrische Methoden der Genomanalyse. Aachen: Shaker Verlag. Biom. Med. Inform., Greifswald. Semin.ber. 21, 149-170 (2013). Reviewer: Irina Ioana Mohorianu (Oxford) MSC: 92D10 92D15 PDFBibTeX XMLCite \textit{U. Horn}, Biom. Med. Inform., Greifswald. Semin.ber. 21, 149--170 (2013; Zbl 1471.92226)
Champagnat, Nicolas; Lambert, Amaury Splitting trees with neutral Poissonian mutations. II: Largest and oldest families. (English) Zbl 1270.60090 Stochastic Processes Appl. 123, No. 4, 1368-1414 (2013). Reviewer: Valentin Topchii (Omsk) MSC: 60J80 92D10 60J85 60G70 60G51 60G55 60K15 PDFBibTeX XMLCite \textit{N. Champagnat} and \textit{A. Lambert}, Stochastic Processes Appl. 123, No. 4, 1368--1414 (2013; Zbl 1270.60090) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{J. C. Watkins}, J. Math. Biol. 60, No. 2, 189--206 (2010; Zbl 1311.92130) Full Text: DOI
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 PDFBibTeX XMLCite \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
Bertoin, Jean The structure of the allelic partition of the total population for Galton-Watson processes with neutral mutations. (English) Zbl 1180.92063 Ann. Probab. 37, No. 4, 1502-1523 (2009). Reviewer: Heinrich Hering (Rockenberg) MSC: 92D15 92D10 60J80 60J85 60J20 PDFBibTeX XMLCite \textit{J. Bertoin}, Ann. Probab. 37, No. 4, 1502--1523 (2009; Zbl 1180.92063) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{M. Möhle}, Bernoulli 12, No. 1, 35--53 (2006; Zbl 1099.92052) Full Text: Euclid
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 PDFBibTeX XMLCite \textit{P. Joyce} et al., Ann. Appl. Probab. 13, No. 1, 181--212 (2003; Zbl 1011.62115) Full Text: DOI
Neuhauser, Claudia The ancestral graph and gene genealogy under frequency-dependent selection. (English) Zbl 0956.92026 Theor. Popul. Biol. 56, No. 2, 203-214 (1999). MSC: 92D15 PDFBibTeX XMLCite \textit{C. Neuhauser}, Theor. Popul. Biol. 56, No. 2, 203--214 (1999; Zbl 0956.92026) Full Text: DOI
Joyce, Paul Partition structures and sufficient statistics. (English) Zbl 0952.62005 J. Appl. Probab. 35, No. 3, 622-632 (1998). MSC: 62B05 62P10 92D10 60G42 60F15 PDFBibTeX XMLCite \textit{P. Joyce}, J. Appl. Probab. 35, No. 3, 622--632 (1998; Zbl 0952.62005) Full Text: DOI
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 PDFBibTeX XMLCite \textit{P. Joyce}, J. Appl. Probab. 32, No. 3, 609--622 (1995; Zbl 0836.62022) Full Text: DOI
Joyce, Paul Likelihood ratios for the infinite alleles model. (English) Zbl 0812.62102 J. Appl. Probab. 31, No. 3, 595-605 (1994). MSC: 62P10 62F05 60F15 62F12 60G42 PDFBibTeX XMLCite \textit{P. Joyce}, J. Appl. Probab. 31, No. 3, 595--605 (1994; Zbl 0812.62102) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. N. Ethier}, J. Appl. Probab. 29, No. 3, 487--498 (1992; Zbl 0756.92017) Full Text: DOI
Joyce, Paul Estimating the frequency of the oldest allele: A Bayesian approach. (English) Zbl 0727.62104 Adv. Appl. Probab. 23, No. 3, 456-475 (1991). MSC: 62P10 92D10 62F15 PDFBibTeX XMLCite \textit{P. Joyce}, Adv. Appl. Probab. 23, No. 3, 456--475 (1991; Zbl 0727.62104) Full Text: DOI Link
Griffiths, R. C. Two chromosomes with multigene families. (English) Zbl 0725.92015 Theor. Popul. Biol. 39, No. 3, 263-272 (1991). MSC: 92D10 92D20 PDFBibTeX XMLCite \textit{R. C. Griffiths}, Theor. Popul. Biol. 39, No. 3, 263--272 (1991; Zbl 0725.92015) Full Text: DOI
Branson, David An urn model and the coalescent in neutral infinite-alleles genetic processes. (English) Zbl 0781.92021 Applied probability, Proc. Symp., Sheffield/UK 1990, IMS Lect. Notes, Monogr. Ser. 18, 174-192 (1991). MSC: 92D10 60C05 60J85 PDFBibTeX XMLCite \textit{D. Branson}, IMS Lect. Notes, Monogr. Ser. 18, 174--192 (1991; Zbl 0781.92021)
Pakes, Anthony G. An infinite alleles version of the Markov branching process. (English) Zbl 0664.92012 J. Aust. Math. Soc., Ser. A 46, No. 1, 146-169 (1989). Reviewer: H.J.Weiner MSC: 92D10 60J80 60J85 PDFBibTeX XMLCite \textit{A. G. Pakes}, J. Aust. Math. Soc., Ser. A 46, No. 1, 146--169 (1989; Zbl 0664.92012)
Griffiths, R. C.; Pakes, Anthony G. An infinite-alleles version of the simple branching process. (English) Zbl 0653.92009 Adv. Appl. Probab. 20, No. 3, 489-524 (1988). MSC: 92D10 60J85 60J80 PDFBibTeX XMLCite \textit{R. C. Griffiths} and \textit{A. G. Pakes}, Adv. Appl. Probab. 20, No. 3, 489--524 (1988; Zbl 0653.92009) Full Text: DOI
Donnelly, Peter; Tavaré, Simon The genealogy of the infinite alleles model. (English) Zbl 0672.92013 Mathematical statistics theory and applications, Proc. World Congr. Bernoulli Soc., Tashkent/USSR 1986, Vol. 2, 701-704 (1987). MSC: 92D10 60J80 PDFBibTeX XML
Shiga, Tokuzo Multi-allelic Gillspie-Sato diffusion models and their extension to infinite allelic ones. (English) Zbl 0639.92009 Stochastic methods in biology, Proc. Workshop, Nagoya/Jap. 1985, Lect. Notes Biomath. 70, 87-99 (1987). Reviewer: G.Jetschke MSC: 92D10 60J60 60J70 PDFBibTeX XML
Cockerham, C. Clark; Tachida, Hidenori Evolution and maintenance of quantitative genetic variation by mutations. (English) Zbl 0624.92017 Proc. Natl. Acad. Sci. USA 84, 6205-6209 (1987). MSC: 92D10 PDFBibTeX XMLCite \textit{C. C. Cockerham} and \textit{H. Tachida}, Proc. Natl. Acad. Sci. USA 84, 6205--6209 (1987; Zbl 0624.92017) Full Text: DOI
Shiga, Tokuzo; Uchiyama, Kohei Stationary states and their stability of the stepping stone model involving mutation and selection. (English) Zbl 0642.92008 Probab. Theory Relat. Fields 73, 87-117 (1986). Reviewer: C.A.Braumann MSC: 92D10 60J60 60J20 60J70 PDFBibTeX XMLCite \textit{T. Shiga} and \textit{K. Uchiyama}, Probab. Theory Relat. Fields 73, 87--117 (1986; Zbl 0642.92008) Full Text: DOI
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 PDFBibTeX XMLCite \textit{P. Donnelly} and \textit{S. Tavaré}, Adv. Appl. Probab. 18, 1--19 (1986; Zbl 0588.92013) Full Text: DOI Link
O’Brien, P. Homozygosity in a population of variable size and mutation rate. (English) Zbl 0579.92014 J. Math. Biol. 22, 279-291 (1985). MSC: 92D10 PDFBibTeX XMLCite \textit{P. O'Brien}, J. Math. Biol. 22, 279--291 (1985; Zbl 0579.92014) Full Text: DOI
Griffiths, R. C. Asymptotic line-of-descent distributions. (English) Zbl 0577.92011 J. Math. Biol. 21, 67-75 (1984). Reviewer: Y.Komatu MSC: 92D10 60J70 PDFBibTeX XMLCite \textit{R. C. Griffiths}, J. Math. Biol. 21, 67--75 (1984; Zbl 0577.92011) Full Text: DOI
Tavaré, Simon Line-of-descent and genealogical processes, and their applications in population genetics models. (English) Zbl 0555.92011 Theor. Popul. Biol. 26, 119-164 (1984). Reviewer: W.Timischl MSC: 92D10 60J70 PDFBibTeX XMLCite \textit{S. Tavaré}, Theor. Popul. Biol. 26, 119--164 (1984; Zbl 0555.92011) Full Text: DOI
Saunders, Ian W.; Tavaré, Simon; Watterson, G. A. On the genealogy of nested subsamples from a haploid population. (English) Zbl 0542.92016 Adv. Appl. Probab. 16, 471-491 (1984). Reviewer: G.Karigl MSC: 92D10 62P10 PDFBibTeX XMLCite \textit{I. W. Saunders} et al., Adv. Appl. Probab. 16, 471--491 (1984; Zbl 0542.92016) Full Text: DOI Link
Griffiths, R. C. Allele frequencies with genic selection. (English) Zbl 0549.92012 J. Math. Biol. 17, 1-10 (1983). MSC: 92D10 60J70 60J60 PDFBibTeX XMLCite \textit{R. C. Griffiths}, J. Math. Biol. 17, 1--10 (1983; Zbl 0549.92012) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. Sawyer}, J. Appl. Probab. 20, 449--459 (1983; Zbl 0538.92014) Full Text: DOI
Notohara, Morihiro The lattice models of neutral multi-alleles in population genetics theory. (English) Zbl 0523.92011 J. Math. Biol. 15, 79-92 (1982). MSC: 92D10 60J70 60J60 47D07 PDFBibTeX XMLCite \textit{M. Notohara}, J. Math. Biol. 15, 79--92 (1982; Zbl 0523.92011) Full Text: DOI
Lewis, Jerry W.; Pollak, Edward Genetic identity in subdivided populations. I. Two equal-sized subpopulations. (English) Zbl 0511.92014 Theor. Popul. Biol. 22, 218-240 (1982). MSC: 92D10 PDFBibTeX XMLCite \textit{J. W. Lewis} and \textit{E. Pollak}, Theor. Popul. Biol. 22, 218--240 (1982; Zbl 0511.92014) Full Text: DOI
Golding, G. B.; Strobeck, C. The distribution of nucleotide site differences between two finite sequences. (English) Zbl 0506.92011 Theor. Popul. Biol. 22, 96-107 (1982). MSC: 92Cxx 92D10 PDFBibTeX XMLCite \textit{G. B. Golding} and \textit{C. Strobeck}, Theor. Popul. Biol. 22, 96--107 (1982; Zbl 0506.92011) Full Text: DOI
Griffiths, R. C. The number of alleles and segregating sites in a sample from the infinite-alleles model. (English) Zbl 0501.92013 Adv. Appl. Probab. 14, 225-239 (1982). MSC: 92D10 62P10 PDFBibTeX XMLCite \textit{R. C. Griffiths}, Adv. Appl. Probab. 14, 225--239 (1982; Zbl 0501.92013) Full Text: DOI
Chakraborty, Ranajit; Griffiths, R. C. Correlation of heterozygosity and the number of alleles in different frequency classes. (English) Zbl 0489.92013 Theor. Popul. Biol. 21, 205-218 (1982). MSC: 92D10 62P10 PDFBibTeX XMLCite \textit{R. Chakraborty} and \textit{R. C. Griffiths}, Theor. Popul. Biol. 21, 205--218 (1982; Zbl 0489.92013) Full Text: DOI
Griffiths, R. C. Neutral two-locus multiple allele models with recombination. (English) Zbl 0512.92012 Theor. Popul. Biol. 19, 169-186 (1981). MSC: 92D10 PDFBibTeX XMLCite \textit{R. C. Griffiths}, Theor. Popul. Biol. 19, 169--186 (1981; Zbl 0512.92012) Full Text: DOI