Modeling Neutral Evolution Using an Infinite-Allele Markov Branching Process
Joint Authors
Source
International Journal of Stochastic Analysis
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-17
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We 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.
American Psychological Association (APA)
Wu, Xiaowei& Kimmel, Marek. 2013. Modeling Neutral Evolution Using an Infinite-Allele Markov Branching Process. International Journal of Stochastic Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-511894
Modern Language Association (MLA)
Wu, Xiaowei& Kimmel, Marek. Modeling Neutral Evolution Using an Infinite-Allele Markov Branching Process. International Journal of Stochastic Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-511894
American Medical Association (AMA)
Wu, Xiaowei& Kimmel, Marek. Modeling Neutral Evolution Using an Infinite-Allele Markov Branching Process. International Journal of Stochastic Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-511894
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511894