An alternative formulation of the condition that a statistic be sufficient, set in a Bayesian context, involves the posterior distributions obtained by using the full data-set and by using only a statistic. Thus the requirement is that, for almost every x,
an alternative formulation of the condition that a statistic be sufficient set in a bayesian context involves the posterior distributions obtained by using the full data-set and by using only a statistic thus the requirement is that for almost every x