Generalized statistics: Applications to data inverse problems with outlier-resistance

The conventional approach to data-driven inversion framework is based on Gaussian statistics that presents serious difficulties, especially in the presence of outliers in the measurements. In this work, we present maximum likelihood estimators associated with generalized Gaussian distributions in th...

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Veröffentlicht in:	PloS one 2023-03, Vol.18 (3), p.e0282578-e0282578
Hauptverfasser:	Dos Santos Lima, Gustavo Z, de Lima, João V T, de Araújo, João M, Corso, Gilberto, da Silva, Sérgio Luiz E F
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Analysis Computer applications Data analysis Earth Sciences Engineering and Technology Entropy Estimates Evaluation Gaussian distribution Influence functions Inverse problems Inversion Likelihood Functions Machine learning Maximum likelihood estimators Maximum likelihood method Normal Distribution Numerical simulations Optimization Outliers (statistics) Physical Sciences Probability distribution Robustness (mathematics) Statistical mechanics Statistics
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