Improved Asymptotic Formulae for Statistical Interpretation Based on Likelihood Ratio Tests

Understand

In this work, we attempt to refine the classic asymptotic formulae to describe the probability distribution of likelihood-ratio statistical tests.

• The idea is to split the probability distribution function into two parts.
• One part is universal and described by the asymptotic formulae.
• The other part is case-dependent and is estimated explicitly using a 6-bin model proposed in this work.