Illustration of the influence of the statistics of the nuisance component on the REXPACO reconstructions. (a) is computed with Eqs. (2.4) ignoring the contribution of the object; (b) is computed with ^{Algorithm 1}; (c) difference of the mean component estimated with Eq. (14a) and ^{Algorithm 1}. For (a) and (b), both the deconvolved flux distribution and its convolved version are given. The difference of estimated means given in (c) is represented with the same colorbar than the convolved objects given in (a) and (b) to ease comparisons. Data set: HR 4796A, see Sect. 3.3.1 for observing conditions.