Bayes (1763) introduced the observed likelihood function to statistical inference and provided a weight function to calibrate the parameter; he also introduced a confidence distribution on the parameter space but restricted attention to models now called location models; of course the names likelihood and confidence did not appear until much later: Fisher (1922) for likelihood and Neyman (1937)...

The paper examines the problem of computing the potential and the attraction force of an ellipsoid, which requires taking a triple integral with an analytically integrable kernel. We consider the kernel as a weight function, while the inner integral is approximated by a quadrature for the product of functions, one of which has an integrable singularity. Such an approach makes it possible to obt...