Variant Bayesian networks

The Bayesian networks can express the joint probabilistic distribution compactly between variables and can express the conditionally independence conveniently. The joint probabilistic influence from the parents to their child can be got from the Bayesian network structure however parents are not necessarily have common influence to their child, which are called by the name of causal influence independence other than conditional independence. The causal influence independence extension model of Bayesian networks presented can have wider meaning than traditional Bayesian networks, which is more applicable and easier to understand.