Relatório de pesquisa 02/09
Some Estimators of Molecular Polymorphism and their Asymptotic Behavior, Samara F. Kiihl, Hildete P. Pinheiro, Aluísio Pinheiro and Sérgio F. dos Reis , submitted January 13, 2009.
Important aspects of population evolution have been investigated
using nucleotide sequences. The quantity µ, representing the mean
number of mutations per gene per generation, is an essential parameter
in population evolution studies, since it determines the degree of
polymorphism in a locus. Inferences about the evolution of a population
are measured by the accuracy of estimation of this parameter. In this
article we present various methods of estimation of µ, analytical
studies of their asymptotic distributions as well as comparisons of the
distribution’s behavior of these estimators through simulations.
Mathematics Subject Classifications
Keywords: asymptotic theory, discrete distribution, maximum likelihood estimate, molecular polymorphism, population evolution.
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January 13, 2009
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