A note on De Moivre's limit theorems: Easy proofs

Ernst Lykke Jensen and Holger Rootzén

Statistics & Probability Letters, 1986, vol. 4, issue 5, 231-232

Abstract: Let the points in a suitably normalized diagram of probabilities in a bonomial distribution with parameters n, p be connected by straight lines. Then the relative slope of this graph tends to the relative slope of the normal density function. This is used to provide the perhaps simplest and most elementary proof available of normal approximations to binomial probabilities.

Keywords: binmmial; distribution; normal; approximations; de; Moivre's; limit; theorems (search for similar items in EconPapers)
Date: 1986
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