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dc.contributor.authorWu, Xiaowei
Kimmel, Marek
dc.date.accessioned 2013-03-15T17:42:59Z
dc.date.available 2013-03-15T17:42:59Z
dc.date.issued 2013
dc.identifier.citation Wu, Xiaowei and Kimmel, Marek. "Modeling neutral evolution using an in nite-allele Markov branching process." International Journal of Stochastic Analysis, 2013, (2013) Hindawi: http://dx.doi.org/10.1155/2013/963831.
dc.identifier.urihttps://hdl.handle.net/1911/70685
dc.description.abstract We consider an in nite-allele Markov branching process (IAMBP). Our main focus is the frequency spectrum of this process, i.e., the proportion of alleles having a given number of copies at a speci ed time point. We derive the variance of the frequency spectrum, which is useful for interval estimation and hypothesis testing for process parameters. In addition, for a class of special IAMBP with birth and death o spring distribution, we show that the mean of its limiting frequency spectrum has an explicit form in terms of the hypergeometric function. We also derive an asymptotic expression for convergence rate to the limit. Simulations are used to illustrate the results for the birth and death process.
dc.language.iso eng
dc.publisher Hindawi
dc.rights This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/
dc.title Modeling neutral evolution using an in nite-allele Markov branching process
dc.type Journal article
dc.contributor.funder Polish National Science Centre
dc.citation.journalTitle International Journal of Stochastic Analysis
dc.subject.keywordMarkov branching process
in finite alleles model
frequency spectrum
dc.citation.volumeNumber 2013
dc.embargo.terms none
dc.type.dcmi Text
dc.identifier.doihttp://dx.doi.org/10.1155/2013/963831
dc.identifier.grantID NN519579938 (Polish National Science Centre)
dc.type.publication publisher version


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