  Monte-Carlo (MC) methods, based on random updates and the trial-and-error
principle, are well suited to retrieve particle size distributions from
small-angle scattering patterns of dilute solutions of scatterers. The size
sensitivity of size determination methods in relation to the range of
scattering vectors covered by the data is discussed. Improvements are presented
to existing MC methods in which the particle shape is assumed to be known. A
discussion of the problems with the ambiguous convergence criteria of the MC
methods are given and a convergence criterion is proposed, which also allows
the determination of uncertainties on the determined size distributions.
