This article is cited in 60 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.

DOI: 10.4213/tvp466

 English version: Theory of Probability and its Applications, 2001, 45:2, 258–272

Bibliographic databases:

• 
• 
•