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Reviews of Symbolic Moment Calculus

Combinatorics 2020-03-27 v1

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 \textit{overlapping stage approach} to calculate the moments E[Xr]E[X^r] and E[(Xμ)r]E[(X-\mu)^r] of combinatorial objects. We also show the normality property of their distributions when these moments are easy enough to calculate.

Keywords

Cite

@article{arxiv.2003.11749,
  title  = {Reviews of Symbolic Moment Calculus},
  author = {Thotsaporn Aek Thanatipanonda},
  journal= {arXiv preprint arXiv:2003.11749},
  year   = {2020}
}

Comments

32 pages, 2 figures, personal article