Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-21667
Barbour, A D (2005). Multivariate Poisson-binomial approximation using Stein‘s method. In: Barbour, A D; Chen, L H Y. Stein‘s method and applications. Singapore: Singapore Univ. Press, 131-142.
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The paper is concerned with the accuracy in total variation of the approximation of the distribution of a sum of independent Bernoulli distributed random d–vectors by the product distribution with Poisson marginals which has the same mean. The best results, obtained using generating function methods, are those of Roos (1998, 1999). Stein's method has so far yielded somewhat weaker bounds. We demonstrate why a direct approach using Stein's method cannot emulate Roos's results, but give some less direct arguments to show that it is possible, using Stein's method, to get very close.
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|Item Type:||Book Section, refereed, original work|
|Communities & Collections:||07 Faculty of Science > Institute of Mathematics|
|Dewey Decimal Classification:||510 Mathematics|
|Deposited On:||10 Nov 2009 07:39|
|Last Modified:||09 Jul 2012 03:55|
|Publisher:||Singapore Univ. Press|
|Series Name:||Lecture Notes Series Institute for Mathematical Sciences, National University of Singapore|
|Additional Information:||Electronic version of an article published as Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore, 5. Published jointly by Singapore University Press, Singapore; and World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2005. xx+297 pp © 2005 copyright World Scientific Publishing Company|
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