The Voigt profile, the density obtained from the convolution of a Gaussian and a Cauchy, is widely used in atomic and molecular spectroscopy. We exploit a characterization of the Voigt profile as a location mixture of the Cauchy distribution for parameter estimation via Gibbs sampler. A simulation study comparing the performance of the proposed algorithm against two widely used algorithms is presented. The proposed approach exhibits a promising performance in terms of MSE.
Estimation of Voigt Distribution Parameters: A Bayesian Approach
Cannas, Massimo
;Piras, Nicola
2025-01-01
Abstract
The Voigt profile, the density obtained from the convolution of a Gaussian and a Cauchy, is widely used in atomic and molecular spectroscopy. We exploit a characterization of the Voigt profile as a location mixture of the Cauchy distribution for parameter estimation via Gibbs sampler. A simulation study comparing the performance of the proposed algorithm against two widely used algorithms is presented. The proposed approach exhibits a promising performance in terms of MSE.
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