【摘要】 本文针对一般树型的拟合问题对连续型和离散型随机向量两种情况,给出一种统一的概率模型——多元独立增量模型,并讨论了寻求最大概率拟合的问题。从理论上证明了当增量服从多元正态分布时,不论增量间的分量是否独立,向量的拟合等价于按各个分量的拟合。更多还原

【Abstract】 In this paper, we considered the fiting problem to a general tree for both cases of continuous and discrete random vector, gave a unified probability model——multidimensional independent increments model and discussed the problem of finding the maximal probability fits. When the increments follow multidimensional normal distribution, we showed that the fits of vectors are equivalent to the fits in according to each component, either its components are independent or not.更多还原