An introduction to Bootstrap for nuclear physics

Abstract

This guide aims at providing a general introduction to bootstrap methods. By using simple examples taken from nuclear physics, I discuss how such a method can be used to quantify error bars of an estimator. I also investigate the use of bootstrap to estimate parameters of a simple liquid drop model. In particular, I investigate how the method compares with standard techniques based on likelihood estimator and how to take into account correlations to better evaluate confidence interval of parameters.

References in corpus (18)

• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XII: Stiffness and stability of neutron-star matter
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• Neutron skin of 208Pb, nuclear symmetry energy, and the parity radius experiment
• Isovector splitting of nucleon effective masses, ab-initio benchmarks and extended stability criteria for Skyrme energy functionals
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. IX: Constraint of pairing force to ${}^1{S}_0$ neutron-matter gap
• Uncertainty Quantification for Nuclear Density Functional Theory and Information Content of New Measurements
• Spin and spin-isospin instabilities in asymmetric nuclear matter at zero and finite temperatures using Skyrme functionals
• Analysis of bulk and surface contributions in the neutron skin of nuclei
• Isovector properties of the Gogny interaction
• Error analysis of nuclear mass fits
• Bootstrapping the statistical uncertainties of NN scattering data
• Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using N2LO Skyrme pseudo-potential in spherical symmetry
• Estimating parameter uncertainty in binding-energy models by the frequency-domain bootstrap
• Error analysis of nuclear forces and effective interactions
• First extraction of the scalar proton dynamical polarizabilities from real Compton scattering data
• Bootstrap technique to study correlation between neutron skin thickness and the slope of symmetry energy in atomic nuclei

Cited by in corpus (13)

• Statistical aspects of nuclear mass models
• Impact of statistical uncertainties on the composition of the outer crust of a neutron star
• Prior probability distributions of neutron star crust models
• Trees and Forests in Nuclear Physics
• Proton scalar dipole polarizabilities from real Compton scattering data, using fixed-t subtracted dispersion relations and the bootstrap method
• Multipartite entanglement in a microwave frequency comb
• Extrapolating from neural network models: a cautionary tale
• Bayesian inference on the isospin splitting of nucleon effective mass from giant resonances in ${}^{208}$Pb
• Is the unusual near-threshold potential behavior in elastic scattering of weakly bound nuclei a precision error?
• Statistical learnability of nuclear masses
• First measurement of polarisation transfer $C_{x^{\prime }}^n$ in deuteron photodisintegration
• Intermodulation spectroscopy and the nonlinear response of two-level systems in superconducting coplanar waveguide resonators
• From nuclei to neutron stars: simple binding energy computer modelling in the classroom (Part 1)