Geodesic
Binomial approximation to the Poisson binomial distribution: The Krawtchouk expansion
Teoriâ veroâtnostej i ee primeneniâ, Tome 45 (2000) no. 2, pp. 328-344

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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.
Mots-clés : binomial approximation, Poisson binomial distribution, Krawtchouk expansion, total variation distance
Keywords: signed measures, point metric. 
@article{TVP_2000_45_2_a6,
     author = {B. Roos},
     title = {Binomial approximation to the {Poisson} binomial distribution: {The} {Krawtchouk} expansion},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {328--344},
     publisher = {mathdoc},
     volume = {45},
     number = {2},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2000_45_2_a6/}
}
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B. Roos. Binomial approximation to the Poisson binomial distribution: The Krawtchouk expansion. Teoriâ veroâtnostej i ee primeneniâ, Tome 45 (2000) no. 2, pp. 328-344. http://geodesic.mathdoc.fr/item/TVP_2000_45_2_a6/