Abstract
The present work investigates the uncertainties in a nuclear liquid-drop model. The model parameters, their uncertainties and correlations, are determined through standard regression analysis that includes a statistical treatment of the errors of the model. The adjustment of the model is based on experimental binding energies corrected by the Thomas-Fermi shell corrections. The uncertainties are then propagated onto observables to reveal the reliability of the predictions and insight is provided to guide further research. Standard regression analysis is further extended to encompass experimental uncertainties as well as correlations. Strong support for such an extension can be found in Bayesian inference. The uncertainties and the correlations regarding microscopic corrections are not currently known; however, when available, these contributions may be included through this extended formalism.
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