Discrete distribution theory with its statistical applications

我考虑了三个主题：“关于图的离散分布理论”，“可交换序列中离散模式的分布理论”，“关于离散分布之间的对偶关系”。提出了精确推导概率分布的方法和算法。文中还给出了算例，以说明该方法和算法的可行性。此外，我还在五次会议上介绍了这些成果，并发表了六篇关于上述主题的论文。

I considered the three topics :「Discrete distribution theory on graphs」,「Distribution theory of discrete patterns in exchangeable sequences」,「On dual relationships between discrete distributions」. I proposed the methods and algorithm for deriving the probability distribution exactly. The illustrative examples are also given in order to demonstrate the feasibility of the methods and algorithm. Furthermore, I presented these results at five conferences and I published six papers on the above topics.