The present paper investigates the update of an empirical probability distribution with the results of a new set of observations. The optimal update is obtained by minimizing either the Hellinger distance or the quadratic Bregman divergence. The results obtained by the two methods differ. Updates with information about conditional probabilities are considered as well.

翻译：本文件根据一套新的观测结果,对经验概率分布的更新进行了调查,通过尽量减少海灵格距离或四边形布雷格曼差异,实现最佳更新,两种方法得出的结果各不相同,还考虑了关于有条件概率的最新资料。