Constructive approximations of the $q=1/2$ maximum entropy distribution   from redundant and noisy data
  The problem of constructing the $q=1/2$ non-extensive maximum entropy distributions from redundant and noisy data is considered. A strategy is proposed, which evolves through the following steps: i)independent constraints are first pre-selected by recourse to a data-independent technique to be discussed here. ii)the data are a posteriori used to determine the parameters of the distribution by a previously introduced forward approach. iii) A backward approach is proposed for reducing the parameters of such distribution. The previously introduced forward approach is generalised here in order to make it suitable for dealing with very noisy data. 
L.Rebollo-Neira and A. Plastino