Abstract
We give an elementary proof of the local central limit theorem for independent, non-identically distributed, integer valued and vector valued random variables.
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Davis, B., McDonald, D. An elementary proof of the local central limit theorem. J Theor Probab 8, 693–701 (1995). https://doi.org/10.1007/BF02218051
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DOI: https://doi.org/10.1007/BF02218051