B0565
Title: On the Voigt profile and its dual
Authors: Massimo Cannas - University of Cagliari (Italy) [presenting]
Gavino Puggioni - University of Rhode Island (United States)
Abstract: The Voigt profile is the convolution of a Gaussian and a Cauchy random variables. The Voigt is extensively used in atomic and molecular spectroscopy to represent superposition effects. The lack of a moment-generating function and a closed form for the density has generated some interest in the literature about parameter estimation. A new characterization of the Voigt profile and its associated dual area is provided. An MCMC algorithm is also proposed to estimate the posterior distribution of both scale and location parameters. A simulation study demonstrates a better performance of the algorithm compared to other approaches.
