{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,31]],"date-time":"2025-12-31T16:39:58Z","timestamp":1767199198168,"version":"build-2238731810"},"reference-count":17,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2016,7,1]],"date-time":"2016-07-01T00:00:00Z","timestamp":1467331200000},"content-version":"unspecified","delay-in-days":15279,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Applied Probability"],"published-print":{"date-parts":[[1974,9]]},"abstract":"<jats:p>In a paper of the same title, Ewens has considered the problem of inferring whether the genotypic frequencies observed in a small sample are consistent with a particular population model, in which all types are selectively neutral. The present paper gives the general theory of such sampling schemes, when the sampling is from either a deterministic, or a stochastically varying, population.<\/jats:p>\n                  <jats:p>The theory is illustrated on a population model which was introduced by Karlin and McGregor. Various results are proved for both the population, and its sample. It is shown that Ewens' sampling theory applies to this population model, and conjectures as to why different population models may have the same sampling theory are made.<\/jats:p>","DOI":"10.2307\/1426228","type":"journal-article","created":{"date-parts":[[2006,4,23]],"date-time":"2006-04-23T18:58:33Z","timestamp":1145818713000},"page":"463-488","source":"Crossref","is-referenced-by-count":113,"title":["The sampling theory of selectively neutral alleles"],"prefix":"10.1017","volume":"6","author":[{"given":"G. A.","family":"Watterson","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2016,7,1]]},"reference":[{"key":"S000186780003994X_ref8","first-page":"415","article-title":"The number of mutant forms maintained in a population","volume":"IV","author":"Karlin","year":"1967","journal-title":"Proc. 5th Berkeley Symp. Math. Statist. Prob."},{"key":"S000186780003994X_ref7","first-page":"643","article-title":"Linear growth, birth and death processes","volume":"7","author":"Karlin","year":"1958","journal-title":"J. Math. Mech."},{"key":"S000186780003994X_ref6","doi-asserted-by":"publisher","DOI":"10.1016\/0040-5809(72)90015-9"},{"key":"S000186780003994X_ref16","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177729945"},{"key":"S000186780003994X_ref15","doi-asserted-by":"publisher","DOI":"10.1017\/S0001867800039951"},{"key":"S000186780003994X_ref10","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/35.1-2.6"},{"key":"S000186780003994X_ref5","doi-asserted-by":"crossref","unstructured":"Ewens W. J. and Gillespie J. H. (1974) Simulation results for the neutral allele model. To appear.","DOI":"10.1016\/0040-5809(74)90030-6"},{"key":"S000186780003994X_ref1","volume-title":"Handbook of Mathematical Functions.","author":"Abramowitz","year":"1965"},{"key":"S000186780003994X_ref2","doi-asserted-by":"crossref","DOI":"10.2307\/2551259","volume-title":"Combinatorial Chance.","author":"David","year":"1962"},{"key":"S000186780003994X_ref17","doi-asserted-by":"crossref","unstructured":"Watterson G. A. (1974) Models for the logarithmic species abundance distributions. Theor. Pop. Biol. To appear.","DOI":"10.1016\/0040-5809(74)90025-2"},{"key":"S000186780003994X_ref9","doi-asserted-by":"publisher","DOI":"10.1016\/0040-5809(72)90036-6"},{"key":"S000186780003994X_ref12","volume-title":"An Introduction to Combinatorial Analysis.","author":"Riordan","year":"1958"},{"key":"S000186780003994X_ref3","doi-asserted-by":"crossref","first-page":"891","DOI":"10.1093\/genetics\/50.5.891","article-title":"The maintenance of alleles by mutation","volume":"50","author":"Ewens","year":"1964","journal-title":"Genetics"},{"key":"S000186780003994X_ref11","doi-asserted-by":"crossref","first-page":"725","DOI":"10.1093\/genetics\/49.4.725","article-title":"The number of alleles that can be maintained in a finite population","volume":"49","author":"Kimura","year":"1964","journal-title":"Genetics"},{"key":"S000186780003994X_ref14","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177693242"},{"key":"S000186780003994X_ref13","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177697193"},{"key":"S000186780003994X_ref4","doi-asserted-by":"publisher","DOI":"10.1016\/0040-5809(72)90035-4"}],"container-title":["Advances in Applied Probability"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S000186780003994X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,7,25]],"date-time":"2021-07-25T20:28:24Z","timestamp":1627244904000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S000186780003994X\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1974,9]]},"references-count":17,"aliases":["10.1017\/s000186780003994x"],"journal-issue":{"issue":"3","published-print":{"date-parts":[[1974,9]]}},"alternative-id":["S000186780003994X"],"URL":"https:\/\/doi.org\/10.2307\/1426228","relation":{},"ISSN":["0001-8678","1475-6064"],"issn-type":[{"value":"0001-8678","type":"print"},{"value":"1475-6064","type":"electronic"}],"subject":[],"published":{"date-parts":[[1974,9]]}}}