Convergence of binomial to normal: multiple proofs

  title={Convergence of binomial to normal: multiple proofs},
  author={S. Bagui and K. Mehra},
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… Expand
2 Citations


The Normal Approximation to the Binomial
Introduction to Probability and Mathematical Statistics
Nonrigorous Proofs of Stirling's Formula
An Introduction To Probability Theory And Its Applications
The History of Statistics: The Measurement of Uncertainty before 1900
  • Grey Giddins
  • Medicine
  • The Journal of hand surgery, European volume
  • 2016
Methodus Differentialis, London, 1730
  • Received: February
  • 2017
Convergence of binomial
  • Poisson, negativebinomial, and gamma to normal distribution: Moment generating functions technique, American Journal of Mathematics and Statistics, 6
  • 2016
Elementary statistics, in a world of applications