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.

Abstract
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 (2000):  

Keywords:
asymptotic theory, discrete distribution, maximum likelihood estimate, molecular polymorphism, population evolution.


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January 13, 2009

 

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