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

Computation 2025-01-10 v1

Abstract

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

Keywords

Cite

@article{arxiv.1010.6098,
  title  = {Maximum Likelihood Estimation of Nonnegative Trigonometric Sum Models Using a Newton-like Algorithm on Manifolds},
  author = {Fernández-Durán and J. J. and Gregorio-Domínguez and M. M},
  journal= {arXiv preprint arXiv:1010.6098},
  year   = {2025}
}

Comments

9 pages 1 figure

R2 v1 2026-06-21T16:35:52.134Z