Extended Data Fig. 9: Δχ2 distributions from Monte Carlo compared to Wilks’ theorem.
From: Sterile-neutrino search based on 259 days of KATRIN data
Cumulative Distribution Function (CDF) of Δχ2 for two sets of sterile-neutrino parameters compared to the analytical χ2 distribution with two degrees of freedom (orange line), as expected according to Wilks’ theorem. The null hypothesis simulation (NH), \([{m}_{4}^{2}=0,{\sin }^{2}({\theta }_{{\rm{ee}}})=0]\), is shown in blue, while the best-fit simulation (BF), \([{m}_{4}^{2}=55.66\,{{\rm{e}}{\rm{V}}}^{2},{\sin }^{2}({\theta }_{{\rm{e}}{\rm{e}}})=0.013]\), is shown in green. The corresponding empirical CDFs are calculated using Monte Carlo simulations.
