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|Title: ||A DeMoivre-Laplace theorem of all orders of regularity|
|Authors: ||van den Berg, Imme|
|Keywords: ||Binomial distribution|
discrete heat equation
|Issue Date: ||2007|
|Publisher: ||Shaker Publishing, Maastricht/Aachen|
|Abstract: ||The DeMoivre-Laplace Theorem states that the binomial probability
distribution B(N; 1/2) tends for N to infinity to the Gaussian distribution.
We extend this theorem to the difference quotients of the family of the
binomial distributions with varying N, showing that they converge to
the corresponding differential quotients of the time-dependent Gaussian
distribution. The convergence holds for difference quotients of all order.|
|Appears in Collections:||MAT - Artigos em Livros de Actas/Proceedings|
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