# Vague and weak convergence of signed measures

@inproceedings{Herdegen2022VagueAW, title={Vague and weak convergence of signed measures}, author={Martin Herdegen and Gechun Liang and Osian Shelley}, year={2022} }

Necessary and suﬃcient conditions for weak and vague convergence of measures are important for a diverse host of applications. This paper aims to give a comprehensive description of the relationship between the two modes of convergence when the measures are signed, which is largely absent from the literature. Furthermore, when the underlying space is R , we study the relationship between vague convergence of signed measures and the pointwise convergence of their distribution functions.

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