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This article is cited in 59 scientific papers (total in 59 papers)
Binomial approximation to the Poisson binomial distribution: The Krawtchouk expansion
B. Roos Institut für Mathematische Stochastik, Universität, Germany
Abstract:
The Poisson binomial distribution is approximated by a binomial distribution and also by finite signed measures resulting from the corresponding Krawtchouk expansion. Bounds and asymptotic relations for the total variation distance and the point metric are given.
Keywords:
binomial approximation, Poisson binomial distribution, Krawtchouk expansion, signed measures, total variation distance, point metric.
Citation:
B. Roos, “Binomial approximation to the Poisson binomial distribution: The Krawtchouk expansion”, Teor. Veroyatnost. i Primenen., 45:2 (2000), 328–344; Theory Probab. Appl., 45:2 (2001), 258–272
Linking options:
https://www.mathnet.ru/eng/tvp466https://doi.org/10.4213/tvp466 https://www.mathnet.ru/eng/tvp/v45/i2/p328
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