论文标题
符号力矩演算的评论
Reviews of Symbolic Moment Calculus
论文作者
论文摘要
作为一名前工程专业的学生，我对现实世界的数学应用非常感兴趣。概率是我可以关联的。我很幸运，在我转向数学后，这是我博士学位的众多兴趣之一。顾问Doron Zeilberger。在本文中，我们创建一个程序以应用\ textIt {重叠阶段方法}来计算组合对象的$ e [x^r] $和$ e [（x-μ）^r] $。当这些瞬间很容易计算时，我们还显示了它们的分布的正常性属性。
As a former engineering student, I have a great interest in a real world application of mathematics. Probability is something I can relate to. I am lucky enough that after I switched to Mathematics, this is one of many interests of my Ph.D. advisor, Doron Zeilberger, as well. In this article we create a program to apply the \textit{overlapping stage approach} to calculate the moments $E[X^r]$ and $E[(X-μ)^r]$ of combinatorial objects. We also show the normality property of their distributions when these moments are easy enough to calculate.
