Modeling neutral evolution using an in nite-allele Markov branching process

Simple item page
dc.citation.journalTitleInternational Journal of Stochastic Analysisen_US
dc.citation.volumeNumber2013en_US
dc.contributor.authorWu, Xiaoweien_US
dc.contributor.authorKimmel, Mareken_US
dc.contributor.orgBioengineeringen_US
dc.contributor.orgStatisticsen_US
dc.date.accessioned2013-03-15T17:42:59Zen_US
dc.date.available2013-03-15T17:42:59Zen_US
dc.date.issued2013en_US
dc.description.abstractWe 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.en_US
dc.embargo.termsnoneen_US
dc.identifier.citationWu, Xiaowei and Kimmel, Marek. "Modeling neutral evolution using an in nite-allele Markov branching process." <i>International Journal of Stochastic Analysis,</i> 2013, (2013) Hindawi: http://dx.doi.org/10.1155/2013/963831.en_US
dc.identifier.doihttp://dx.doi.org/10.1155/2013/963831en_US
dc.identifier.urihttps://hdl.handle.net/1911/70685en_US
dc.language.isoengen_US
dc.publisherHindawien_US
dc.rightsThis 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.en_US
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/en_US
dc.subject.keywordMarkov branching processen_US
dc.subject.keywordin finite alleles modelen_US
dc.subject.keywordfrequency spectrumen_US
dc.titleModeling neutral evolution using an in nite-allele Markov branching processen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
JBA-D-14-00095R2.pdf
Size:
2.13 MB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.61 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
Faculty Publications