Before revision:  In this article we  analyse the statistical properties of the Bayesian estimator for the selection coefficient in this model , when both selection and mutation are acting on the population.
After revision:  In this article we show that the diffusion is ergodic uniformly in the selection and mutation parameters, and that the measures induced by the solution to the stochastic differential equation are uniformly locally asymptotically normal. Subsequently these two results are used to analyse the statistical properties of the Bayesian estimator for the selection coefficient in this model , when both selection and mutation are acting on the population.