Abstract
We prove a local limit theorem for sums of independent random vectors satisfying appropriate tightness assumptions. In particular, the local limit theorem holds in dimension 1 if the summands are uniformly bounded.
Citation
Dmitry Dolgopyat. "A Local Limit Theorem for sums of independent random vectors." Electron. J. Probab. 21 1 - 15, 2016. https://doi.org/10.1214/16-EJP4232
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