Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/55113
Type: Artigo de periódico
Title: Asymptotic behavior of the scaled mutation rate estimators
Author: Pinheiro, HP
Kiihl, SF
Pinheiro, A
dos Reis, SF
Abstract: Important aspects of population evolution have been investigated using nucleotide sequences. Under the neutral Wright Fisher model, the scaled mutation rate represents twice the average number of new mutations per generations and it is one of the key parameters in population genetics. In this study, we present various methods of estimation of this parameter, analytical studies of their asymptotic behavior as well as comparisons of the distribution's behavior of these estimators through simulations. As knowledge of the genealogy is needed to estimate the maximum likelihood estimator (MLE), an application with real data is also presented, using jackknife to correct the bias of the M LE, which can be generated by the estimation of the tree. We proved analytically that the Waterson's estimator and the MLE are asymptotically equivalent with the same rate of convergence to normality. Furthermore, we showed that the MLE has a better rate of convergence than Waterson's estimator for values of the parameter greater than one and this relationship is reversed when the parameter is less than one.
Subject: Asymptotic theory
Discrete distribution
Maximum likelihood estimate
Population genetics
Statistical genetics
Country: Alemanha
Editor: Wiley-v C H Verlag Gmbh
Rights: fechado
Identifier DOI: 10.1002/bimj.200900014
Date Issue: 2010
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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