Standard confidence intervals employed in applied statistical analysis are usually based on asymptotic approximations. Such approximations can be considerably inaccurate small and moderate sized samples. We derive accurate higher-order approximate quantiles of the score function. The coverage approximation error is O(n?3?2) while first-order distribution Wald, score, signed likelihood ratio sta...

Quantifying errors and losses due to the use of Floating-point (FP) calculations in industrial scientific computing codes is an important part Verification, Validation, Uncertainty Quantification process. Stochastic Arithmetic one way model estimate FP accuracy, which scales well large, codes. It exists different flavors, such as CESTAC or MCA, implemented various tools CADNA, Verificarlo, Verr...