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In Fern\'andez-Dur\'an (2004), a new family of circular distributions basedon nonnegative trigonometric sums (NNTS models) is developed. Because theparameter space of this family is the surface of the hypersphere, an efficientNewton-like algorithm on manifolds is generated in order to obtain the maximumlikelihood estimates of the parameters.

Maximum Likelihood Estimation of Nonnegative Trigonometric Sum Models Using a Newton-like Algorithm on Manifolds