Convergence of binomial to normal: multiple proofs

@inproceedings{Bagui2017ConvergenceOB,
  title={Convergence of binomial to normal: multiple proofs},
  author={Subhash C. Bagui and K. L. Mehra},
  year={2017}
}
This article presents four different proofs of the convergence of the Binomial ( , ) B n p distribution to a limiting normal distribution, n. These contrasting proofs may not be all found together in a single book or an article in the statistical literature. Readers of this article would find the presentation informative and especially useful from the pedagogical standpoint. This review of proofs should be of interest to teachers and students of senior undergraduate courses in probability and… 
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