Reviews of Symbolic Moment Calculus
Abstract
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 overlapping stage approach to calculate the moments E[Xr] 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.
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