# Renormalization of divergent moment in probability theory

@inproceedings{Zhang2022RenormalizationOD, title={Renormalization of divergent moment in probability theory}, author={Ping Zhang and Wen-Du Li and Wu-Sheng Dai}, year={2022} }

: Some probability distributions have moments, and some do not. For example, the normal distribution has power moments of arbitrary order, but the Cauchy distribution does not have power moments. In this paper, by analogy with the renormalization method in quantum ﬁeld theory, we suggest a renormalization scheme to remove the divergence in divergent moments. We establish more than one renormalization procedure to renormalize the same moment to prove that the renormalized moment is scheme…

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