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An elementary proof of the local central limit theorem

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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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References

  1. Gamkrelidze, N. G. (1988). On the application of a smoothness function in proving a local limit theorem.Theory Prob. Appl. 33, 352–355.

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Authors and Affiliations

  1. Department of Statistics, Purdue University, 47907-1399, West Lafayette, Indiana

    Burgess Davis

  2. Department of Mathematics and Statistics, University of Ottawa, K1N 6N5, Ottawa, Ontario

    David McDonald

Authors
  1. Burgess Davis
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  2. David McDonald
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Additional information

Support by a NSF Grant.

Supported by an NSERC Grant

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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

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