We propose a new definition of the Neyman chi-square divergence between distributions. Based on convexity properties and duality, this version of the [chi]2 is well suited both for the classical applications of the [chi]2 for the analysis of contingency tables and for the statistical tests in...

This paper defines the blowing number, which counts the number of data points necessary to destabilize a statistic under a given sampling scheme. Its calculation is completed for many statistics, shading a new light on their sampling properties.