Modeling Neutral Evolution Using an Infinite-Allele Markov Branching Process

Simple item page
dc.contributor.authorWu, Xiaoweien
dc.contributor.authorKimmel, Mareken
dc.contributor.departmentStatisticsen
dc.date.accessioned2017-09-18T09:47:26Zen
dc.date.available2017-09-18T09:47:26Zen
dc.date.issued2013-03-17en
dc.date.updated2017-09-18T09:47:26Zen
dc.description.abstractWe consider an infinite-allele Markov branching process (IAMBP). Our main focus is the frequency spectrum of this process, that is, the proportion of alleles having a given number of copies at a specified 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 offspring 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
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationXiaowei Wu and Marek Kimmel, “Modeling Neutral Evolution Using an Infinite-Allele Markov Branching Process,” International Journal of Stochastic Analysis, vol. 2013, Article ID 963831, 10 pages, 2013. doi:10.1155/2013/963831en
dc.identifier.doihttps://doi.org/10.1155/2013/963831en
dc.identifier.urihttp://hdl.handle.net/10919/78991en
dc.language.isoenen
dc.publisherHindawien
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.holderCopyright © 2013 Xiaowei Wu and Marek Kimmel. 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.en
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.titleModeling Neutral Evolution Using an Infinite-Allele Markov Branching Processen
dc.title.serialInternational Journal of Stochastic Analysisen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

Files

Original bundle
Now showing 1 - 2 of 2
Name:
IJSA.2013.963831.xml
Size:
5.97 KB
Format:
Extensible Markup Language
Download
Thumbnail Image
Name:
IJSA.2013.963831.pdf
Size:
854.5 KB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
Name:
license.txt
Size:
1.5 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Journal Articles, Hindawi Press
Scholarly Works, Statistics